Question

The length of the sides of a triangle are 10 cm, 26 cm and 24 cm, the length of altitude corresponding to the longest side is

Answer 1

R.E.F.Image.

As $(24{)}^2+(10{)}^2=576+100=676=(26{)}^2$

$\Rightarrow$ By Pythagoras therom, triangle is right angled

$\Rightarrow$ In $△BDC,sin\theta =\frac{d}{10}$

In $△ABC,sin\theta =\frac{24}{26}\Rightarrow \frac{24}{26}=\frac{d}{10}$

$\Rightarrow d=\frac{10\times 12}{13}=9.23cm$