Question 1 :
The area of a triangle whose sides are 4 cm, 13 cm and 15 cm is
Question 2 :
Area of traingle ABC whose sides are 24m, 40m and 32m is-
Question 3 :
The sides of a triangle are $3$ cm, $4$ cm and $5$ cm. Its area is .......<br/>
Question 4 :
If s is the semi-perimeter of a $\Delta A B C$ whose sides are a,b,c then s=.............?<br><br>
Question 6 :
The area of an equilateral triangle with side $2 \sqrt{3}$ cm is<br>
Question 7 :
Area of an equilateral triangle of side $a$ units can be calculated by using the formula :<br/>
Question 8 :
The sides of a triangle are 5 cm, 12 cm and 13 cm. Then its area is<br>
Question 9 :
The sides of a triangle are $4, 5$ and $6$ cm. The area of the triangle is equal to
Question 11 :
The volume of a sphere is $\displaystyle 1150.35{ in }^{ 3 }$. Find its radius. (Round off your answer to the nearest whole number).
Question 12 :
The canvas required to construct a cone of height $24$ m and base radius $7$ m is:
Question 13 :
The volume of the hemisphere is $\displaystyle 2100{ cm }^{ 3 }$. Find its radius. (Round off your answer to the nearest whole number).
Question 14 :
The volume of a cone is $462$ m$^3$. Its base radius is $7$ m. Find its height.
Question 15 :
What would be the side of a cube of same volume as that cuboid of 225 m$^3$ ?
Question 16 :
A piece of paper in the shape of a sector of a circle of radius $10\ cm$ and of angle ${216}^{0}$ just covers the lateral surface of a right circular cone of vertical angle $ 2\theta$, then $\sin\theta =$<br/>
Question 17 :
The dimension of a box (cuboid) are $1 m \times 80cm\times 50cm$. Then its lateral surface area.
Question 18 :
The cost of the canvas required to make a conical tent of base radius $8$ m at the rate of Rs. $40$ per $\displaystyle m^{2}$ is Rs. $10,048$. Find the height of the tent $\displaystyle$ (Take $\pi =3.14 )$.
Question 19 :
If the surface area of a sphere is $144\pi\ m^2$, then its volume is
Question 20 :
The volume of a sphere is $36\prod c{m^2} $. Then is diameter is ___ cm.
Question 21 :
If the right circular cone is separated into three solids of volumes $V_1, V_2$ and $V_3$ by two planes which are parallel to the base and trisect the altitude, then $V_1 : V_2 : V_3$ is
Question 22 :
The number of litres of milk a hemispherical bowl of radius 10.5$\mathrm { cm }$ can hold is
Question 23 :
The three co-terminus edge of a rectangular solid are 36 cm, 75 cm and 80 cm respectively. Find the edge of a cube which will be of the same capacity :<br><br>
Question 24 :
<span>A hemispherical tank full of water is emptied by a pipe at the rate of $\displaystyle {3}\frac{4}{7}$ litres per second . How much time will it take to half empty the tank, if the tank is $3$ metres in diameter? (Take $\pi = \dfrac{22}{7})$</span><br/>
Question 25 :
In a triangle, the difference of any two sides is ____ than the third side.
Question 27 :
In a triangle ABC , if AB , BC and AC are the three sides of the triangle , then which of the following statements is necessarily true ?
Question 28 :
In $\triangle$ ABC, $AB = 5$ cm, $BC= 6$ cm and $CA= 7$ cm. Identify the relation between the angles.<br/>
Question 30 :
Two plane figures are said to be congruent if they have_____.
Question 31 :
The side opposite to an obtuse angle of a triangle is
Question 32 :
If the angles of a triangle are $30^{\circ},60^{\circ},90^{\circ}$, then what is the ratio of corresponding sides?
Question 33 :
The construction of a triangle ABC, given that BC = 3 cm is possible when difference of AB and AC is equal to :<br/>
Question 34 :
If the hypotenuse and one of the other two sides of a right angles triangle is equal to the hypotenuse and one of the other two sides of the other right-angled triangle respectively, then the two right-angled triangles are ___.
Question 35 :
Two triangles are congruent, if two angles and the side included between them in one triangle is equal to the two angles and the side included between them of the other triangle.This is known as
Question 36 :
If $a, b$ and $c$ are the sides of a triangle, then __________.
Question 37 :
Two sides of a triangle are $7$ and $10$ units. Which of the following length can be the length of the third side?
Question 38 : <span>In $\Delta ABC, AB = 76$ cm, $BC=69$ cm and $CA=61$ cm</span><div>the greatest angle ?<br/></div>
Question 39 :
In $\triangle ABC$ and $\triangle DEF$, $\angle B=\angle E,AB=DE,BC=EF$. The two triangles are congruent under ............. axiom.
Question 40 :
In $\Delta ABC$, if $\angle A = 50^{\circ}$ and $\angle B = 60^{\circ}$, then the greatest side is :<br>
Question 41 :
Can $6$ cm, $5$ cm and $3$ cm form a triangle?
Question 42 :
Which of the following statements is true when $\displaystyle \Delta ABC\cong \Delta DEF.$
Question 43 :
Sum of the lengths of any two sides of a triangle is always ____ than the length of the third side.
Question 44 :
If in two triangles $ABC$ and $DEF$, $AB=\,DF$, $BC=\,DE$ and $\angle B=\angle D$, then $\triangle ABC\cong $ $\triangle $____.
Question 46 :
Consider isosceles triangle $ABC$, in which $AB=AC$ and$\angle ABC =50^o$. Find the $\angle BAC$.
Question 47 :
In $\Delta ABC$, if $\angle A = 35^{\circ}$ and $\angle B = 65^{\circ}$, then the longest side of the triangle is :<br>
Question 48 :
Two sides of a triangle are of lengths 5 cm and 1.5 cm, then the length of the third side of the triangle cannot be
Question 49 :
If a, b and c are the sides of a $\Delta$ le then
Question 50 :
In $\Delta ABC$ and $\Delta DEF$, AB = DF and $\angle A = \angle D$. The two triangles will be congruent by SAS axiom if :
Question 51 :
In $\triangle PQR$, $\angle P={ 50 }^{ 0 }$ and $\angle R={ 70 }^{ 0 }$. Name <br>i) the shortest side.<br>ii)the longest side of the triangle
Question 53 :
In $\Delta ABC, \angle B = 30^{\circ}, \angle C = 80^{\circ}$ and $\angle A = 70^{\circ}$ then,<br>
Question 54 :
Can the three sides of length $6 cm, 5 cm,$ and $3 cm$ form a triangle?
Question 55 :
In $\triangle ABC$, if $AB = 7$ cm, $\angle A= 40^o$ and $\angle B = 70^o$, which criterion can be used to construct this triangle?
Question 56 :
If the two sides and the ____ angle of one triangle are respectively equal to two sides and the included angle of the other triangle, then the triangles are congruent.
