Question

Which of the following is the area of a right-angled triangle with base 6 m and hypotenuse 6.5 m?

• A. $7.5m^2$
• B. $9.5m^2$
• C. $8.5m^2$
• D. $12.5m^2$
• E. None of these

Answer 1

The correct option is A $7.5m^2$

Height of the triangle $=\sqrt{(6.5{)}^2-6^2}$
$=\sqrt{42.25-36}=\sqrt{6.25}=2.5m$
$\therefore$ Area $=\frac{1}{2}(base\times height)$
$=\frac{1}{2}\times 6\times 2.5=7.5m^2.$