Find the area of a right -angled triangle whose base is 12 cm and hypotenuse 13 cm. Options: A . &nbsp`20 cm^2` B . &nbsp`20 cm^2` C . &nbsp`28 cm^2` D . &nbsp`30 cm^2`

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Question

Find the area of a right -angled triangle whose base is 12 cm and hypotenuse 13 cm.

Options:

A . `20 cm^2`

B . `20 cm^2`

C . `28 cm^2`

D . `30 cm^2`

Answer: Option D

Height of the triangle = `sqrt((13)^2 - (12)^2)` cm = `sqrt(25)` cm = 5 cm.

`:.` Its area = `1/2 xx Base xx Height `

=` (1/2 xx 12 xx 5) cm^2`

= 30 `cm^2`

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