CUET General Test Geometry > Triangles PYQs

Find the area of the triangle, whose sides are 8 cm, 10 cm, and 12 cm long.

A ladder is placed to reach a window 63 cm high. The ladder is then turned over to the opposite side of the street and is found to reach a point 56 cm high. If the ladder is 65 cm long, then the width of the street will be:

Find the value of k so that the area of the triangle with vertices A(k + 1, 1), B(4, -3) and C(7, -k) is 6 square units.

A man 2 m tall is walking away from a street light of height 10 m. If the length of his shadow is 6 m, find the distance of the man from the street light.

Find the area of a triangle formed by the points A(6, 2), B(4, 7) and C(7, -4)

Find the area of triangle whose base measures 22 cm and the corresponding height measure 18 cm.

A 5 meter tall tree casts a shadow of 12 meter. At the same time, a nearby tower casts a shadow of 48 meter. Find the height of the tower.

The area of the right-angled isosceles triangle having hypotenuse A cm is:

The sides of a triangle are in the ratio of $\frac{1}{4}:\frac{1}{5}:\frac{1}{6}$. If the perimeter of the triangle is 37 cm, then find the length of the greatest side of the triangle?

If the area of an equilateral triangle is $36\sqrt{3}$ cm², then the length of the side is:

The perimeter of an isosceles triangle is 32 cm while its equal sides together measure 18 cm. Find the length of the other side

The area of a right-angled triangle with hypotenuse 17 cm and one side being 8 cm shall be:

The height of an equilateral triangle is $5\sqrt{3}$ cm, then its area is:

In triangle $ABC$, points $D$ and $E$ are on $AB$ and $AC$ respectively such that $DE$ is parallel to $BC$. If $AD = 6$ cm, $DB = 4$ cm, $AE = 9$ cm, then the length of $EC$ (in cm) is:

The area of a right-angled triangle with base 3 m and hypotenuse 5 m is :

If CE is parallel to DB, what is the value of $x$: <img src="https://balti.afterboards.in/Vi2uYr8lb7q1tHC" width="400px"/>

Find the area of an equilateral triangle each of whose sides measures 4 cm:

In the given figure DE || BC, the value of x is: <img src="https://balti.afterboards.in/9bmftffxW7rNZzI" width="400px"/>

A ladder 25 feet long is leaning against a wall such that it touches 24 feet high window. How far is the foot of the ladder from the wall ?

The length of the side of an equilateral triangle is $4\sqrt{3}$ cm. Find its height.

From the figure, find $x$.<img src="https://balti.afterboards.in/7JNJbrenskuG2Jb" width="400px"/>

From the figure, find the values of $x$ and $y$. <img src="https://balti.afterboards.in/c0KSBxWceOkon2n" width="400px"/>

Find how many triangle are there in the given figure? <img src="https://balti.afterboards.in/9usDXUz0lbJASUO" width="300px"/>

Find the coordinates of centroid of $\triangle ABC$ if the mid point of BC is D(2, 4) and vertex A is (2, -3).

The sides of a triangle are in the ratio $\frac{1}{3} : \frac{1}{4} : \frac{1}{5}$. If the semi-perimeter of the triangle is 47 cm, then what is the length of the longest side?

From the figure, what is the value of x? <img src="https://balti.afterboards.in/uVZOEczl4rwLbOX" width="300px"/>

In the given figure l||m||n, the value of x is<img src="https://balti.afterboards.in/HjAHNrLUfsfv2CY" width="400px"/>

The altitude drown to the base of an isosceles triangle is 16 cm and it's perimeter is 64 cm what is the area of triangle?

The value of x in the given figure is : <img src="https://balti.afterboards.in/ADEIDEAme7pR1fS" width="300px"/>

The angles of a triangle are $3x^\circ$, $(2x+60)^\circ$ and $(5x-40)^\circ$. Then the value of x is: