Question

The base of a right angled triangle is 5 metres and hypotenuse is 13 metres. Its area will be

• A. 25 $m^2$
• B. 28 $m^2$
• C. 30 $m^2$
• D. None of these

Answer 1

The correct option is C 30 $m^2$

For a right angled triangle,
${hypotenuse}^2={height}^2+{base}^2$

${13}^2={height}^2+5^2$

${height}^2=169-25=144$
$height=\sqrt{25}=12$ m
Area of triangle $=\frac{1}{2}\times base\times height=\frac{1}{2}\times 5\times 12=30$ sq m