Which of the following are the sides of a right-angled triangle?

In Δ ABC, DE ‖ BC, where D and E are points on the sides AB and AB and AC, respectively. If AD = 2 cm, BD = 5.2 cm, AC = 9 cm and AE = x cm, then what is the value of x?

In an isosceles trapezium, the lengths of the parallel sides are 3 cm and 9 cm and the length of altitude is 4 cm. What is the ratio of the perimeter and the area of the trapezium?

In triangle ABC, the bisector of angle BAC cuts the line BC at D. If BD = 6 and BC = 14 then what is the value of AB : AC?

It is given that △ABC ~ △YZX and Ar ABC : Ar XYZ = 256 : 25. If AB = 12 cm, BC = 10 cm, CA = 15 cm, then what is the value of YZ (in cm)?

The length of two parallel sides of a trapezium are 15 metre and 20 metre. If its height is 22 metre, then what is the area of the trapezium?

Suppose ΔABC be a right-angled triangle where ∠A = 90° and AD ⊥ BC. If area (ΔABC) = 80 cm² and BC = 16 cm, then the length of AD is:

When the side of an equilateral triangle is made three times the original side, the area of the new equilateral will become:

The perpendicular height of the equilateral triangle is \(6 \sqrt{3}\) cm. Find the area of the triangle.

The two adjacent sides of a parallelogram are 12 cm and 5 cm respectively. If one of the diagonals is 13 cm long, then What is the area of the parallelogram?

The area (in m²) of a triangular field, whose sides are 85m, 85m, and 154m is:

The opposite sides of a parallelogram each measure 16 cm, and the perpendicular distance between these sides is 10 cm. What is the area of the parallelogram in square centimeters?

In an isosceles triangle, if the unequal side is 8 cm and equal side is 5 cm. then the area of the triangle is:

In a right angled triangle, perpendicular sides are 45 cm and 60 cm. Find the length of the perpendicular drawn from the vertex to its hypotenuse.

The side of an equilateral triangle is equal to the diagonal of a rectangle whose sides are 9 cm and 12 cm. Find the area (in cm²) of the equilateral triangle.

In the given figure AL ⊥ BD, CM ⊥ BD. BD = 15 cm, AL = 4 cm, and CM = 6 cm. Find the value of (Area of △BCD - Area of △ABD).

In a triangle ABC, AB is 20% more than that of BC and AC is 50% more than that of AB. If the perimeter of the triangle is 120 cm, find the area (in cm²) of the triangle. (approx.)

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

D and E are two points in sides AB and AC of a triangle ABC. If AD = 3 cm, AE = 4 cm, and EC = 6 cm then find the length of DB.

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

In triangle ABC, if AB = 16 cm, AC = 10 cm, and ∠BAC = 60^o, then find the length of the side BC.

PQR is a right-angle triangle where R = 90°. RK is perpendicular on side PQ. If the length of the side QR = 6 cm and PR = 8 cm then, find the ratio between QK and KP.

A circle is drawn outside a triangle and the sides of the triangle are 12 cm, 35 cm, and 37 cm then, find the radius of the circle.

The sides other than hypotenuse of the right-angle triangular park are in ratio 3 : 4. The sum of all sides is 144 m. Find the area of the triangular park.

A scalene triangle ABC is given with sides 15 cm, 13 cm, and 12 cm, and a circle is drawn in the triangle having radius r. Find the value of r.

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.

The length of the perpendicular drawn from vertex A on the unequal side of an isosceles triangle ABC is 30 cm and the length of its equal sides is 34cm. What will be the area of ​​the triangle?

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

In triangle ABC, side AB = 15 cm and AC = 11 cm. Median AD is drawn to side BC, such that AD = √29, find the value of BC.

A circle is drawn outside a triangle and the sides of the triangle are 12 cm, 35 cm, and 37 cm then, find the radius of the circle.

Find the altitude (in cm) from the vertex Q to side PR of ΔPQR with side lengths PQ = 40 cm, PR = 40 cm and QR = 60 cm.

In the following figure, ABC is a triangle. D, E and F are the midpoints of the sides AB, BC and CA respectively. If the perimeter of the triangle DEF is 12 cm, then what is the perimeter of the triangle ABC?

In the given figure, if AB ||CD AO = 4 cm; OC = (4x - 2) cm; OD = (2x + 4) cm; OB = (x + 1) cm, then the value of x is:

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

When the side of an equilateral triangle is made three times the original side, the area of the new equilateral will become:

Suppose ΔABC be a right-angled triangle where ∠A = 90° and AD ⊥ BC. If area (ΔABC) = 80 cm² and BC = 16 cm, then the length of AD is:

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

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?

ΔABC is an equilateral triangle with a side of 12 cm. CD is the bisector of ∠C which meets AB at D, and E is the mid-point of CD. What is the length of BE?

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?

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

ΔABC is an isosceles triangle inscribed in a circle. If AB = AC = 12√5 cm and BC = 24 cm then find the radius of the circle.

In an equilateral triangle ABC, D is the midpoint of side BC. If the length of BC is 8 cm, then the height of the triangle is:

In the given figure, BE, AD and EF are perpendiculars on sides AC and BC. If AD = 8 cm, AC = 12 cm and BE = 6 cm, then find the length of BC.

The sides other than hypotenuse of the right-angle triangular park are in ratio 3 : 4. The sum of all sides is 144 m. Find the area of the triangular park.

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

∆ABC ~ ∆DEF such that AB = 9.1 cm and DE = 6.5 cm. If the perimeter of ∆DEF = 25 cm, then the perimeter of ∆ABC is:

If ∆ ABC ~ ∆ FDE such that AB = 9 cm, AC = 11 cm, DF = 16 cm and DE = 12 cm, then the length of BC is:

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

Three altitudes of length 1.5√3 m, 10√3 m, and 4.5√3 m are drawn on every side of an equilateral triangle from a point that lay inside the triangle. Find the perimeter of the equilateral triangle.