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Question

The sides of a triangle are 11 cm 15 cm and 16 cm The altitude to largest side is

A
307 cm
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B
1572 cm
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C
1574 cm
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D
30 cm
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Solution

The correct option is C 1574 cm
Sides of triangle are 11,15 and 16.
By Heron's formula semi-perimeter of triangle = 11+15+162=422=21cm
Area=21(2111)(2115)(2116)
Area=21×10×6×5
Area=6300=900×7=307
We have to fine altitude on largest side of triangle i.e 16
12×b×h=307
12×16×h=307
h=3078

h=1574cm

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