The area of triangle P is 55% of the area of triangle Q. If the sides of the triangle Q are 7 cm, 12 cm and 15 cm. What will be the area (in cm²) of the triangle P?

In the given figure, the ratio of AE : CE = 5 : 3, EB = 30 cm and AB = 75 cm. What is the value of CD?

The lengths of the sides of a right-angled triangle are in the ratio 5 : 12 :13 and its perimeter is 90 cm. What is the area (in cm²) of the triangle?

If the sides of a triangle measure 21cm, 35cm and 28cm, what is the measure of its in radius?(in cm)

The perimeter of an equilateral triangle is equal to the circumference of a circle. If each side of this equilateral triangle is 88 cm long, then what will be the length of the diameter of the circle? 

The perimeter of an isosceles triangle is 100 cm. If the base is 36 cm, then find its semi-perimeter (in centimetres).

The area of a triangle having base 9 cm and height 16 cm is:

In ∆PQR, PR = 10 cm. Find the length of PT, where ST∥QR. Given that PS = 6 cm and QS = 14 cm.

in triangle STU, V is a point on the side ST and W is a point on the side SU such that VWUT is a trapezium. Given that VW : TU= 2 : 7, what is the ratio of area of trapezium VWUT to the area of the triangle STU?

The area of a triangle is half the area of a square. The perimeter of the square is 172 cm. What is the area of the triangle (in cm²)?

In a right angle triangle ABC, ∠B = 90°. AM and CN are the two medians on sides BC and AB respectively, such that AM = 10 cm and CN = 5 cm. Find the value of AC.

X, Y, and Z are three equalateral triangles. The sum of the areas of X and Y is equal to the area of Z. If the side lengths of X and Y are 6 cm and 8 cm, respectively, then what is the length of Z?

The lengths of the three sides of a triangle are 30 cm, 42 cm, and x cm. Which of the following statements is correct?

A circle is circumscribed around an equilateral triangle of side 3 cm. What is the area of the circle (in cm²)?

In a triangle, the lengths of the sides are 6 units, 12 units, and x units. How many possible integer values are there for x?

ΔABC is similar to ΔPQR, and PQ = 10 cm. If the area of ΔABC is 32 cm² and the area of ΔPQR is 50 cm², then the length of AB (in cm) is equal to:

In triangle ABC, D is the midpoint of BC. If DL is perpendicular to AB and DM is perpendicular to AC such that DL = DM, then the triangle will be:

The area of a triangle is 182 cm² and the length of one of its sides is 28 cm. What is the length of the perpendicular line segment drawn to this side of the triangle from the opposite vertex (in cm)?

Two similar triangles ABC and PQR have perimeters 15 cm and 25 cm respectively. If the area of ABC is 108 sq.cm, find the area of PQR.

In triangle ABC, AD is the angle bisector of angle A. If AB = 8.4 cm and AC = 5.6 cm and  DC = 2.8 cm, then the length of side BC will be:

In △STU, X and Y are the points on sides ST and SU, respectively. XY is parallel to TU. If SX: XT = 2 : 5 and UY = 20 cm, then what is the value of SU?

A circle is drawn inside a triangle and the sides of a triangle are given as 9 cm, 40 cm, and 41 cm then, find the radius (r) inside the triangle

If ZXY is a triangle with ZX = ZY = 7 cm and the length of XY is 8 cm. ZO is the Cevian drawn from vertex Z, XZ is 40% more than to the OX then find the length of the OZ.

The areas of the two triangles are in the ratio 4 : 3 and their heights are in the ratio 6 : 5. Find the ratio of their bases.

The area of a triangle is 1470 cm². If the base of this triangle is (3/5)^th of the height corresponding to that base, then what will be the height of the triangle?

The side of an equilateral triangle is 16 cm. Find the ratio of its area to its perimeter.

If the perimeter of a regular hexagon is 684 cm, then find the area of the hexagon.

What is the area of a triangle with a base of 18 cm and a height of 21 cm?

A circle is drawn inside a triangle and the sides of a triangle are given as 9 cm, 40 cm, and 41 cm then, find the radius (r) inside the triangle

The side of an equilateral triangle is 16 cm. Find the ratio of its area to its perimeter.

If the perimeter of a regular hexagon is 684 cm, then find the area of the hexagon.

ABCD a trapezium and the length of A and B is 20 m and the length of C and D is 15 cm. If the height of the trapezium is 10 m, then find the area of the trapezium.

In ΔXYZ, ∠Y = 90 degrees and YN is perpendicular to XZ. If XY = 30 cm and XZ = 34 cm, then what is the value of YN?

In a triangle ABC, AB = 8 cm and AC = 5 cm. What is true about the value of side BC?

△ABC and △QPR are similar triangles. Area of △ABC and △QPR are 1296 m² and 5184 m² respectively. If the side AB is 12 m, then find the length of PQ.

The ratio of the sides of a triangle is 11 : 11 : 4. If the area of the triangle is \(2\sqrt{117}\) cm², then what is the length of the equal sides?

D and E are points on the sides AB and AC respectively of ΔABC such that DE is parallel to BC and AD : DB = 5 : 4, CD and BE intersect each other at F. Then the ratio of the areas of ΔDEF and ΔCBF:

If ∆ABC - ∆PQR, AB = 4 cm, PQ = 6 cm, QR = 9 cm and RP = 12 cm, then find the perimeter of ∆ABC.

What is the radius of the circle that circumscribes the triangle ABC whose sides are 16, 30, and 34 units, respectively?

The lengths of the three sides of a triangle are 30 cm, 42 cm, and x cm. Which of the following statements is correct?

ΔABC is similar to ΔPQR, and PQ = 10 cm. If the area of ΔABC is 32 cm² and the area of ΔPQR is 50 cm², then the length of AB (in cm) is equal to:

Find the area of triangle having base 34 cm and corresponding height as 22 cm.

If in △ XYZ, XY = 4 and XZ = 5 cm, and Q is a point on YZ such that XQ bisects ∠X, then YQ : QZ is:

ΔΑΒC - ΔDEF and the perimeters of ΔABC and ΔDEF are 40 cm and 12 cm, respectively. If DE = 6 cm, then AB is:

In ΔPQR, the length of the side QR is less than twice the length of the side PQ by 3 cm. Length of the side PR exceeds the length of the side PQ by 14 cm. The perimeter is 55 cm. The length of the smaller side of the triangle PQR is:

The area of a trapezium is 100 cm². If the distance between the parallel sides of the trapezium is 10 cm, then what is the sum of the lengths of the two parallel sides?

In a ∆ABC, two medians AD and BE intersect at G at right angles. If AD = 18 cm and BE = 12 cm, then the length of BD is equal to:

If the areas of two similar triangles are in the ratio 196 : 625, what would be the ratio of the corresponding sides?

Find the height of the triangle whose base is \(\frac{5}{7}\)th of its height and its area is 18.207 cm².