# The Base and Hypotenuse of a Right Triangle Are Respectively 5 Cm and 13 Cm Long. Its Area is - Mathematics

MCQ

The base and hypotenuse of a right triangle are respectively 5 cm and 13 cm long. Its area is

•  25 cm2

•  28 cm2

• 30 cm2

• 40 cm2

#### Solution

In right angled triangle ABC having base 5 cm and hypotenuse 13 cm we are asked to find its area

Using Pythagorean Theorem

AB^2 = AC^2 + BC^2

Where, AB = hypotenuse = 13 cm, AC = Base = 5 cm, BC = Height

(13)^2 = (5)^2 + BC^2

169 = 25 + BC^2

BC = sqrt( 169-25)

BC = 12 cm

Area of a triangle, say having base 5 cm and altitude 12 cm is given by

A = 1/2 (" Base" xx " Height ")

Where, Base = 5 cm; Height = 12 cm

A = 1/2 (5 xx 12)

A = (5 × 6)

A = 30 cm2

Concept: Application of Heron’s Formula in Finding Areas of Quadrilaterals
Is there an error in this question or solution?

#### APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 17 Heron’s Formula
Exercise 17.4 | Q 8 | Page 25

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