Test Details

Triangle

Nov 17, 9:30 PM

20 minutes

Nov 17, 10:00 PM

20.0 marks

MCQ

20 questions

Abhishek Kumar

Class Details

Mathematics

Class 10

Mathematics

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Question Text

Question 1 :
Given the measures of the sides of the triangle , identify which measures are in the ratio 3 : 4 : 5

Question 2 :
In $\Delta ABC,$ if $AB =6\sqrt{3}$ cm, $AC=12$ cm and $BC=6$ cm, then angle B is equal to:

Question 3 :
 In a right angle triangle, the hypotenuse is the greatest side. State whether the above statement is true or false.

Question 4 :
A man goes 40 m due north and then 50 m due west. Find his distance from the starting point.

Question 5 :
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 7 :
The sides of a triangle are given below. Check whether or not the sides form a right-angled triangle.$3cm, 8cm, 6cm$

Question 8 :
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 9 :
In $\Delta$ ABC, angle C is a right angle, then the value of tan $A + tan B $is

Question 10 :
Which of the following numbers form pythagorean triplet?  i) $2, 3, 4$ ii) $6, 8, 10$ iii) $9, 10, 11$ iv) $8, 15, 17$

Question 11 :
Which of the following could be the side lengths of a right triangle?

Question 12 :
Triangle ABC is right -angled at C. Find BC, If AB = 9 cm and AC = 1 cm. In each case, answer correct to two place of decimal.

Question 13 :
The hypotenuse 'c' and one arm 'a' of a right triangle are consecutive integers. The square of the second arm is:

Question 14 :
There is a Pythagorean triplet whose one member is $6$ and other member is $10$

Question 15 :
In$ \displaystyle \bigtriangleup $ ABC , angle C is a right angle, then the value of$ \displaystyle \tan A+ \tan B is $

Question 16 :
The sides of a triangle are given below. Check whether or not the sides form a right-angled triangle.$13cm, 12cm, 5cm$

Question 17 :
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 18 :
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 19 :
The sides of a triangle are given below. Check whether or not the sides form a right angled triangle.$50cm, 80cm, 100cm$

Question 20 :
$4\, RN^{2}\, =\, PQ^{2}\, +\, 4\, PR^{2}$ State whether the above statement is true or false.

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