Question

Height and base of right angled triangles are 24 cm. and 18 cm. Find the length of its hypotenuse. a) 24 cm. b) 30 cm. c) 15 cm d) 18 cm
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Answer 1

Answer :

• The length of hypothenuse is 30cm
• option (b)

Given :

• Height and base of right angled triangle are 24cm and 18cm

To find :

• Length of its hypothenuse

Solution :

Given,

• Height is 24cm
• Base is 18cm

As we know that,

Pythagoras theorem

• (h)² = (b)² + (h)²

Where,

• h is hypothenuse
• b is base
• h is height

⤁(hypothenuse)² = (base)² + (height)²

⤁ (18)² + (24)²

⤁ √324 + 576

⤁√900

⤁ 30 cm

Hence, The length of hypothenuse is 30cm

Verification :

⤁ (hypothenuse)² = (base)² + (height)²

⤁ (30)² = (18)² + (24)²

⤁ 900 = 324 + 576

⤁ 900 = 900

Hence, Verified