The base of a right angled triangle is 12 cm and its hypotenuse is 13 cm long. Find its area and the perimeter.
Mensuration
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Question

The base of a right angled triangle is 12 cm and its hypotenuse is 13 cm long. Find its area and the perimeter.

KnowledgeBoat · Accepted Answer

It is given that, ABC is a right angled triangle. From figure, BC = 12 cm and AC = 13 cm Using the Pythagoras theorem, AC² = AB² + BC² Substituting the values we get, ⇒ 13² = AB² + 12² ⇒ AB² = 13² – 12² ⇒ AB² = 169 – 144 = 25 ⇒ AB = = 5 cm. We know that, Area of triangle ABC = × base × height. Substituting the values we get, A = = 30 cm². Perimeter of triangle ABC (P) = AB + BC + CA Substituting the values we get, = 5 + 12 + 13 = 30 cm. Hence, area of triangle = 30 cm² and perimeter = 30 cm.

Mathematics

The base of a right angled triangle is 12 cm and its hypotenuse is 13 cm long. Find its area and the perimeter.

Mensuration

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Mathematics

The base of a right angled triangle is 12 cm and its hypotenuse is 13 cm long. Find its area and the perimeter.

Mensuration

Related Questions

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