Question 1 :
The ratio of the areas of two similar triangles is $25:16$. The ratio of their perimeters is ..............
Question 2 :
Triangle A has a base of x and a height of 2x. Triangle B is similar to triangle A, and has a base of 2x. What is the ratio of the area of triangle A to triangle B?
Question 3 :
State true or false:<br/>The ratio of the areas of two triangles of the same height is equal to the ratio of their bases.
Question 4 :
State true or false:<br/>The ratio of the areas of two triangles on the same base is equal to the ratio of their heights.
Question 6 :
 If the two legs of a right angled $\Delta$ are equal and the square of the hypotenuse is $100,$ then the length of each leg is:
Question 7 :
In a right triangle the square of the hypotenuse is equal to twice the product of the legs. One of the acute angles of the triangle is:
Question 8 :
If three sides of a right-angled triangle are integers in their lowest form, then one of its sides is always divisible by
Question 9 :
Which of the following can be the sides of a right angled triangle ?
Question 10 :
In $\triangle{ABC}$, $\angle{B}=90$, $AB=8\:cm$ and $BC=6\:cm$.The length of the median BM is
Question 11 :
In $\Delta$ ABC, $\angle B = 90$, AB = 8 cm and BC = 6 cm. The length of the median BM is<br>
Question 12 :
We use ........... formula to find the lengths of the right angled triangles.
Question 13 :
In the $\triangle LMN$ <b></b>$\displaystyle $, angle L is $\displaystyle { 65 }^{ o }$ $\displaystyle $, angle M is a right angle, what would be angle N?
Question 14 :
A............can never be made up of all odd numbers or two even numbers and one odd number.
Question 15 :
Find hypotenuse of right angled triangle if the sides are $12,4\sqrt 3$
Question 16 :
A right angled triangle has $24,7cm $ as its sides . What will be its hypotenuse?
Question 17 :
Can we construct sets of Pythagorean Triples with all even numbers?
Question 18 :
 A Pythagorean Triplet always...............of all even numbers, or two odd numbers and an even number.
Question 19 :
It is easy to construct sets of Pythagorean Triples, When m and n are any two ............... integers.
Question 20 :
Is it true that a Pythagorean Triple can never be made up of all oddnumbers?
Question 21 :
If the measures of sides of a triangle are $(x^2-1) cm, (x^2 +1) cm$, and $2x cm$, then the triangle will be: 
Question 22 :
In a $\Delta$ABC, if $AB^2\, =\, BC^2\, +\, AC^2$, then the right angle is at:
Question 23 :
The length of the hypotenuse of a right angled $\Delta$ le whose two legs measure 12 cm and 0.35 m is:
Question 25 :
Select the correct alternative and write the alphabet of that following :<br>Out of the following which is the Pythagorean triplet ?
Question 26 :
If the two legs of a right angled triangle are equal and the square of the hypotenuse is $100cm^2$, then the length of each leg is _________.
Question 27 :
A right-angles triangle has hypotenuse $13$ cm, one side is $12$ cm, then the third side is _________.
Question 28 :
If the lengths of the sides of a triangle does not satisfy the rule of $\displaystyle { a }^{ 2 }+{ b }^{ 2 }={ c }^{ 2 }$, then that triangle does not contain a
Question 29 :
If the hypotenuse of a right angled triangle is 15 cm and one side of it 6cm less than the hypotenuse, the other side b is equal to.
Question 30 :
Which of the following cannot be the sides a right angle triangle?<br>
Question 31 :
Given the measures of the sides of the triangle , identify which measures are in the ratio 3 : 4 : 5
Question 32 :
In $\Delta ABC,$ if $AB =6\sqrt{3}$ cm, $AC=12$ cm and $BC=6$ cm, then angle B is equal to:<br/>
Question 33 : <p> In a right angle triangle, the hypotenuse is the greatest side. <br/></p><b>State whether the above statement is true or false.</b><br/>
Question 34 :
A man goes 40 m due north and then 50 m due west. Find his distance from the starting point.
Question 35 :
A ladder $13m$ long rests against a vertical wall. If the foot of the ladder is $5m$ from the foot of the wall, find the distance of the other end of the ladder from the ground.
Question 37 :
The sides of a triangle are given below. Check whether or not the sides form a right-angled triangle.$3cm, 8cm, 6cm$
Question 38 :
The hypotenuse of a grassy land in the shape of a right triangle is $1$ meter more than twice the shortest side. If the third side is $7$ meters more than the shortest side, find the sides of the grassy land.
Question 39 :
In $\Delta$ ABC, angle C is a right angle, then the value<br>of tan $A + tan B $is<br><br>
Question 40 :
Which of the following numbers form pythagorean triplet? <br/>i) $2, 3, 4$<br/>ii) $6, 8, 10$<br/>iii) $9, 10, 11$<br/>iv) $8, 15, 17$
Question 41 :
Which of the following could be the side lengths of a right triangle?
Question 42 :
Triangle ABC is right -angled at C. Find BC, If AB = 9 cm and AC = 1 cm.<br/>In each case, answer correct to two place of decimal. 
Question 43 :
The hypotenuse 'c' and one arm 'a' of a right triangle are consecutive integers. The square of the second arm is:
Question 44 :
There is a Pythagorean triplet whose one member is $6$ and other member is $10$
Question 45 :
In$ \displaystyle \bigtriangleup $ ABC , angle C is a right angle, then the value of$ \displaystyle \tan A+ \tan B is $
Question 46 :
The sides of a triangle are given below. Check whether or not the sides form a right-angled triangle.$13cm, 12cm, 5cm$
Question 47 :
In $\triangle ABC$, $\angle C={90}^{o}$. If $BC=a, AC=b$ and $AB=c$, find $b$ when $c=13 \ cm$ and $a=5 \ cm$.
Question 48 :
In $\triangle ABC$, $\angle C={90}^{o}$. If $BC=a, AC=b$ and $AB=c$, find $a$ when $c=25 \ cm$ and $b=7 \ cm$.
Question 49 :
The sides of a triangle are given below. Check whether or not the sides form a right angled triangle.$50cm, 80cm, 100cm$
Question 50 :
$4\, RN^{2}\, =\, PQ^{2}\, +\, 4\, PR^{2}$<br/><b>State whether the above statement is true or false.</b><br/>
Question 51 :
State true or false:<br/>In parallelogram $ ABCD $. $ E $ is the mid-point of $ AB $ and $ AP $ is parallel to $ EC $<b> </b>which meets $ DC $ at point $ O $ and $ BC $ produced at $ P $. Hence $ O $ is mid-point of $ AP $.<br/><br/>
Question 52 :
The areas of two similar triangles are $49 \ {cm}^{2}$ and $64 \ {cm}^{2}$ respectively. The ratio of their corresponding sides is:
Question 53 :
STATEMENT - 1 : If in two triangles, two angles of one triangle are respectively equal to the two angles of the other triangle, then the two triangles are similar.<br>STATEMENT - 2 : If in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio and hence the two triangles are similar.<br>
Question 54 :
The perimeter of two similar triangles is 40 cm and 50 cm. Then the ratio of the areas of the first and second triangles is
Question 55 :
The base of a triangle is $80$, and one of the base angles is $60^{\circ}$. The sum of the lengths of the other two sides is $90$. The shortest side is
Question 56 :
The altitude of an equilateral triangle of side lenght of $2\sqrt{3}$ cm is:
Question 57 :
The Pythagoras theorem , In the right triangle, the square of thehypotenuse is equal to the sum of other two sides. What are we proving here?
Question 58 :
The lengths of the sides of a right triangle are $5x + 2$, $5x$ and $3x - 1$. If $x > 0$ then the length of each side is?
Question 59 :
The triangle formed by the vertices $A(1,0,1) \quad B(2,-1,4) $ and $C(3,-4,-1)$ is
Question 60 :
If $\triangle ABC$ is similar to $\triangle DEF$ such that BC=3 cm, EF=4 cm and area of $\triangle ABC=54 {cm}^{2}$. Determine the area of $\triangle DEF$.
