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The sides of a triangle are 10 cm, 17 cm and 21 cm. What is the altitude drawn to the longest side?

Competition practiceGeometry

A8 cm
B4 cm
C16 cm
D9.6 cm

Step-by-Step Solution

s = 24

and area

= 24 \times 14 \times 7 \times 3 = 84 cm^{2}

. The altitude to the 21 cm side is

\frac{2 \times 84}{21} = 8

cm.

Answer: A) 8 cm

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