PQR is a right angled triangle with PQ = 3 cm, QR = 4cm. A circle which touches all the sides of the triangle is inscribed in the triangle. Calculate the radius of the circle.

r = 1cm

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r = 2cm

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r = 4cm

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r = 5cm

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Solution

The correct option is
D

r = 1cm
Given, $Δ P Q R$ is a right angled triangle.
And $P Q = 3 c m, Q R = 4 c m$
From the figure-
$B R = Q R - Q B$
So,

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PQR is a right angled triangle with PQ = 3 cm, QR = 4cm. A circle which touches all the sides of the triangle is inscribed in the triangle. Calculate the radius of the circle.

The correct option is D r = 1cmGiven, ΔPQR is a right angled triangle.And PQ=3 cm,QR=4 cmFrom the figure-BR=QR−QBSo,

The correct option is
D

r = 1cm
Given, $Δ P Q R$ is a right angled triangle.
And $P Q = 3 c m, Q R = 4 c m$
From the figure-
$B R = Q R - Q B$
So,