Question

if hypernews and base of a right angle are 10cm and 8cm are respectievly find its area.​

Answer 1

BY PYTHAGORAS THEOREM WE KNOW THAT

(Hypotenuse)² = sum of square of two sides

so according to the question,

Hypotentuse = 10 cm

Base = 8 cm

Height = ?

In a ∆ there are three sides so hypotenuse and base is given but we need to find the height

(Hypotentuse)² = (Base)² + (Height)²

(10)² = (8)² + (Height)²

100 = 64 + (Height)²

100 – 64 = (Height)²

Height = √36

Height = 6cm

Now, according to the question we need to the area

Formula : 1/2 × Base × Height

Area = 1/2 × Base × Height

= 1/2 × 8 cm × 6 cm

= 1/2 × 48 cm²

= 24 cm²

So, the area is 24 cm².