Practice Triangle Questions and Answers

• If the ratio of the area of two similar triangles is √3:√2 then what is the ratio of the corresponding sides of the two triangles? ...
• The area of a triangle is 216 cm² and the ratio of its sides is 9: 12: 15. What is the perimeter of the triangle?
• If the side of an equilateral triangle is 12cm, then find the area (in cm 2 ) of the triangle (correct to two decimal places).
• The area of a triangle is 480 cm² and the ratio of its sides is 10: 24: 26. What is the perimeter of the triangle?
• If the angles of a triangle are in the ratio of 2:5:8, then find the value of the biggest angle.
• In a triangle ABC, the incenter is at O. Find angle BAC if angle BOC=120°.
• If the inradius of a triangle with a perimeter of 60cm is 8 cm, then find the area of the triangle.(in cm2)
• Two triangles DEF and XYZ are similar to each other. If DE = 5 cm, DF = 7 cm, and XY = 15 cm, then find XZ.
• Two triangles DEF and XYZ are congruent to each other such that DE = 10 cm, YZ = 24 cm, and ∠DEF = ∠XYZ = 90⁰. Find the circumradius of ΔDEF....
• An equilateral triangle ABC is surmounted on a square BCDE whose area is 500 cm². Find the altitude of triangle ABC.
• In a triangle ABC, AD is the altitude from A to BC. If AD = 12 cm, AB = 13 cm, and AC = 14 cm, find the length of BC.
• The base of a triangular plot is 25 meters, and its height is 30 meters. If a path of 2 meters wide is to be built around the plot, what will be the area o...
• A triangle XYZ is drawn inside a circle with a radius of 8 cm, such that its vertices lie on the circumference of the circle. Given that ∠XYZ = ∠YZX = ...
• In a right-angled triangle, the hypotenuse is 20 cm, and one of the legs is 12 cm. Find the area of the triangle.
• In a triangle, the lengths of two sides are 13 cm and 14 cm, and the included angle between them is 60°. Find the area of the triangle.
• In a right-angled triangle, the perimeter is 60 cm. If the base is 12 cm and the height is 16 cm, find the length of the hypotenuse.
• Two sides of a triangle are 10 cm and 15 cm. Which of the following can be the third side of the triangle?
• A right-angled triangle has an area of 120 m², and the ratio of its base to height is 5:3. The side length of an equilateral triangle is 125% of the avera...
• In triangle ABC, the difference between angle A and angle B is 16°, and the difference between angle A and angle C is 8°. Determine the measure of angle ...
• The sides of a triangle are 13 cm, 14 cm, and 15 cm. What is the area of the triangle?
• Find the area of the triangle formed by the line 5x + 3y = 15 and the x-axis and the y-axis.
• A right-angled triangle has one leg of 12 cm and the hypotenuse of 13 cm. Find the length of the other leg.
• The vertices of a triangle are given as (5, 4), (9, 6), and (1, 5). Determine the area enclosed by this triangle.
• In triangle ABC, the lengths of its sides are given as AB = 8 cm, AC = 10 cm, and BC = 12 cm. Determine the length of the median drawn from vertex 'A' to t...
• In triangle △ ABC, the internal angle bisectors of ∠ B and ∠ C intersect at point OO. If the measure of ∠ BAC = 50o , determine the measure of ∠ ...
• A triangle has sides 13 cm, 14 cm, and 15 cm. Find the area of the triangle.
• The sides of a triangle are 15 cm, 20 cm, and 25 cm. A smaller triangle is drawn inside it such that its sides are proportional to the original triangle an...
• The area of an equilateral triangle increases by 16√3 square units when the length of each side is increased by 4 units. What is the original perimeter o...
• In a ΔDEF, ∠D = 45°, ∠E = 2∠F. What is the value of ∠F?
• Determine the inradius of an equilateral triangle whose altitude measures 9√3 cm.
• Given a right-angled triangle with the perpendicular measuring 36 cm and the base measuring 48 cm, determine the length of the shortest median of the trian...
• The angles of a triangle are in the ratio 4:5:3. Determine the sum of the smallest and largest angles of the triangle.
• What is the length of the hypotenuse in an isosceles right-angled triangle if one of its equal sides measures 5√3 cm?
• What is the length of the hypotenuse in an isosceles right-angled triangle if one of its equal sides measures 6√2 cm?
• Find the hypotenuse of an isosceles right-angled triangle where each of the equal sides is 7√5 cm.
• Calculate the hypotenuse of an isosceles right-angled triangle where the equal sides are 8√6 cm each.
• Determine the hypotenuse of an isosceles right-angled triangle where each of its equal sides measures 9√7 cm.
• In the given figure, AB ∥ QP, AB = x, PQ = x + 10, RB = x/2, BP = x + 1. Find PQ. ...
• Find the area of a triangle whose sides are 12 m, 14 m, and 16 m.
• The area (in square units) of the triangle formed by the vertices (0,2), (2,3), and (3,1) is: