Question

The area of right angled triangle is 60square centimetre and it's smallest side is 8 cm. What is it's hypotenus​

Answer 1

Answer:

Step-by-step explanation:

Let the other side be X

Smallest side of right angled triangle = 8 cm

Area of triangle = 60 m²

1/2 × Smallest side × Other side = 60 m (formula for area of triangle)

Therefore,

1/2 × 8 × X = 60 m

4X = 60 X = 60/4

X = 15 m

Therefore,

Other side = X = 15 m

By pythagoras theroem,

( Hypotenuse)² = ( Smallest Side)² + (Other side)²

(H)² = (8)² + (15)²

(H)² = 64 + 225

(H)² = 289

H = ✓289 = 17 m.

Therefore,

hypotenus = 17 m

Hope it helps you :)