Question

Triangle sides17cm,25cm,and26cm,then the length of the altitude correspondent to he shortestside

Answer 1

Here we will use Herons Formula to calculate area
s=17+25+26/2
=34
Ar. of Triangle =
$\sqrt{34 \times 34 - 17 \times 34 - 25 \times 34 - 26 }$
$\sqrt{s \times s - a \times s - b \times s - c}$
=
$\sqrt{41616}$
=204


Now Area of Triangle is
$\frac{1}{2} \times base \times height$
${204cm}^{2} = \frac{1}{2} \times 17 \times h$
$h = 204 \times \frac{2}{17}$
$h = 24cm$