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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

Options

  •  25 cm2

  •  28 cm2

  • 30 cm2

  • 40 cm2

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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

 

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APPEARS IN

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