Question

The lengths of the sides of a triangle are 7 cm, 13 cm and 12 cm. Find the length of perpendicular from the opposite vertex to the side whose length is 12 cm.

The perimeter of a right triangle is 24 cm. If its hypotenuse is 10 cm, find the other two sides. Find its area by using the formula area of a right triangle. Verify your result by using Heron's formula.

Find the area of the triangle whose sides are 42 cm, 34 cm and 20 cm in length. Hence, find the height corresponding to the longest side.

Assertion (A): The perimeter of a right angled triangle is 60 cm and its hypotenuse is 26 cm . The other sides of the triangle are 10 cm and 24 cm. Also, the area of the triangle is 120 cm². Reason (R): (Base)² + (Perpendicular)² = (Hypotenuse)²