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Question

In the given figure a circle is inscribed in a â–³PQR with PQ=10cm,QR=8cm,PR=12cm.Length of PL is:
1428023_eea8eededd684191a49f14704b2a6c1b.png

A
3 cm
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B
5 cm
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C
7 cm
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D
10 cm
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Solution

The correct option is C 7 cm
From figure, we have,

1st side + 2nd side + 3rd side = perimeter of the triangle

x+(10x)+x+(12x)+(10x)+(12x)=10+12+8

10+12+10+122x=30

442x=30

x=7

PL=x=7cm

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