Question

Area of a right-angled triangle is 30 sq cm. If the smallest side is 5cm, then its hypotenuse is ______

Answer 1

13 cm

Step-by-step explanation:

Area of triangle = 1/2 ×base× height = 30

•°• Base × Height = 60

=> (Smallest Side) 5 × Height = 60

•°• Height = 12 cm

By Pythagoras Theorm ,

B^2 + P^2 = H^2

H^2 = 25 + 144

•°• H (Hypotenuse) = √169 = 13 cm

Answer 2

Answer:

13cm

Step-by-step explanation:

Given area of right angled triangle= 30cm^2

smallest side = 5cm

Area of triangle = 1/2 × base (small side) × height

30 = 1/2 × 5cm × height

Height = (30×2)/5

Height = 60/5 = 12cm

Acc. to Pythagoras Theorem,

Hypotenuse^2 = height^2 + base^2

Hypotenuse^2 = 12^2 + 5^2 = 144+25

Hypotenuse^2 = 169

Hypotenuse = ✓169 = 13cm Ans.