Question

Sides of a triangle are 8 cm, 15 cm and 17 cm The altitude to the longest side is nearly

• A. 8 cm
• B. 7.06 cm
• C. 6.72 cm
• D. 10.5 cm

Answer 1

The correct option is B 7.06 cm

$⟨8,15,17⟩$ is a Pythagoras triplet
Area of triangle $=\frac{1}{2}\times 8cm\times 15cm=60c{m}^2$
$Now,\frac{1}{2}\times 17\times h=60c{m}^2$
$\Rightarrow h=7.06cm$