Question

1. The sides of a right-angled triangle containing
the right angle are 4x cm and (2x - 1) cm. If
the area of the triangle is 30 cm²; calculate the
lengths of its sides.
​

Answer 1

Answer:

Area of triangle = 30 cm2

But, x cannot be negative, so x = 3.

Thus, we have:

AB = 4 × 3 cm = 12 cm

BC = (2 ×3 − 1) cm = 5 cm

CA = √(122 + 52) cm = 13 cm (Using Pythagoras theorem).