Practice Triangle Questions and Answers

• 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 12√5 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.
• What is the height of an equilateral triangle if each of its sides is 4√3 cm?
• Determine the perpendicular drawn from a vertex to the opposite side in an equilateral triangle with side length 8√3 cm.
• Calculate the altitude of an equilateral triangle having each side of length 10√3 cm.
• Find the vertical height from a vertex to the base of an equilateral triangle with a side measuring 12√3 cm.
• An equilateral triangle has all sides of length 14√3 cm. What is the altitude of this triangle?
• Find the area of a triangle with a base of 12.6 cm and a corresponding height of 18.4 cm.
• A triangle has a base of 22 cm and the corresponding height is 9.5 cm. Calculate its area.
• The base of a triangle is 14.8 cm, and the corresponding altitude is 20.2 cm. What is its area?
• In triangle ABC, DE is drawn parallel to side BC. If AD = 6 cm, DB = 4 cm and AE = 9 cm, then find AC.
• In triangle XYZ, UV is drawn parallel to side YZ. If XU = 10 cm, UX = 6 cm, and XV = 15 cm, find XZ.
• In triangle DEF, GH is drawn parallel to side EF. If DG = 9 cm, GE = 3 cm and DH = 6 cm, find DF.
• In triangle MNO, PQ is drawn parallel to side NO. If MP = 5 cm, PN = 10 cm and MQ = 6 cm, find MO.
• Determine the inradius of an equilateral triangle if its height is 6√3 cm.
• What is the inradius of an equilateral triangle whose vertical height measures 12√3 cm?
• If the perpendicular from a vertex of an equilateral triangle to the opposite side is 15√3 cm, find its inradius.
• Find the radius of the incircle of an equilateral triangle whose height is given to be 3√3 cm.
• An equilateral triangle has an altitude of 21√3 cm. Calculate the radius of its incircle.
• The base of a right pyramid is an equilateral triangle with side 7 cm. If the height of the pyramid is 32√3 cm, then find the volume of the pyramid.
• The base of a right pyramid is an equilateral triangle with side 9 cm. If the height of the pyramid is 45√3 cm, find the volume of the pyramid.