Question
A right-angled triangle has one leg of 12 cm and the
hypotenuse of 13 cm. Find the length of the other leg.Solution
Use the Pythagorean theorem: a² + b² = c² Where a and b are the legs, and c is the hypotenuse. Substitute the given values: 12² + b² = 13² 144 + b² = 169 b² = 169 - 144 b² = 25 b = √25 b = 5 cm Correct Option: a) 5 cm
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.
Triangle ABC has AB = 10, AC = 8, angle A = 60°. Find BC.
- In triangle DEF, GH is drawn parallel to side EF. If DG = 9 cm, GE = 3 cm and DH = 6 cm, find DF.
- 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.
Find the hypotenuse of an isosceles right-angled triangle where each of the equal sides is 7√5 cm.
The ratio of the height to the base of a triangle is 3:2. If the sum of the height and base of the triangle is 25 cm, what is the area of the triangle?
If the ratio of areas of two similar triangles is 25:49, then the ratio of their corresponding sides is?
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' t...
- An equilateral triangle has an altitude of 21√3 cm. Calculate the radius of its incircle.