Question

The base and hypotenuse of a right traingle are 20 cm and 29 cm . The area of traingle is ____ . 

100 cmsq

120 cmsq

150 cmsq

210 cmsq

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Answer 1

Answer:

Base of triangle = 20 cm

Hypotenuse of triangle = 29

Height of triangle = ?

In a triangle,

Hypotenuse² = Base² + Height²..........

(Pythagoras theorem)

29² = 20² + h²

29² - 20² = h²

h² = 881 - 400

h² = 441

h = √441

h = 21

Therefore, height of triangle = 21

We know that,

Area of triangle = 1/2 × b × h

= 1/2 × 20 × 21

= 10×21

= 210

Therefore, the area of triangle = 210 cmsq