A field is in the form of a right triangle with hypotenuse 50 m and one side 30m. Find the area of the field.

Question

Philoid · Accepted Answer

Given

A right angled triangle with hypotenuse = 50 cm and one of the side = 30 cm

Let base = 30 cm

Height = Y cm

Area = ?

By using hypotenuse theorem

Hypotenuse² = base² + height²

50² = 30² + Y²

Y² = 50² – 30² = 2500 – 900 = 1600

Therefore X² = 1600

Y = 40cm

Area of the triangle = × base × height

Area = × 30 × Y

= × 30 ×40 = 600 m².