Practice Triangle Questions and Answers

• Two sides of a triangle are 10 cm and 15 cm. Which of the following can be the third side of the triangle?
• In an equilateral triangle, the length of the side is 18 cm. A circle is inscribed in the triangle. Find the radius of the circle.
• In a right-angled triangle, the legs are in the ratio 3:4, and the hypotenuse is 25 cm. Find the perimeter of the triangle.
• In a triangle ABC, the lengths of sides AB, BC, and AC are 13 cm, 14 cm, and 15 cm, respectively. Find the area 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 area of an isosceles triangle ABC is 8√5 cm². In this triangle, sides AB and BC are equal in length, and the base AC has a length of 8 cm. Determine...
• Determine the area of the triangle whose vertices lie on the co-ordinates (2, 4), (4, 2), (-2, -5)
• The sides of a triangle are 13 cm, 14 cm, and 15 cm. What is the area of the triangle?
• The side of an equilateral triangle is 15 cm long. What is the radius of the circle circumscribing this equilateral 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.
• The area of an equilateral triangle is 64√3 cm2. Find the radius of the circle that circumscribes the triangle.
• 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:
• The parallel sides of a trapezium and its height are in an arithmetic progression with a common difference of 4. If the height is the highest term and the ...
• What is the height of an equilateral triangle with a side length of 8√3 cm?
• What is the height of an equilateral triangle with a side length of 10√2 cm?
• What is the height of an equilateral triangle with a side length of 14√7 cm?
• Find the area of a triangle whose base is 15.4 cm and corresponding altitude is 20.8 cm.
• Find the altitude of an equilateral triangle whose side is 8√3 cm.
• Find the inradius of an equilateral triangle whose altitude is 9√3 cm.
• The altitude of an equilateral triangle is 6√3 cm. Find the area of the equilateral triangle.
• The area of an isosceles triangle ABC is 8√5 cm 2 . If AB = BC and AC = 8 cm, then find the perimeter of triangle ABC.