Question

What is the area of a right angled triangle if its base is given as 6 cm and Hypotenuse is 10 cm.

• A. $26c{m}^2$
• B. $36c{m}^2$
• C. $24c{m}^2$
• D. $40c{m}^2$

Answer 1

The correct option is C

$24c{m}^2$

Height (Perpendicular) can be calculated using Pythagora's theorem.

Height $=\sqrt{{10}^2-6^2}=\sqrt{6}4=8cm$

Area of triangle $=\left(\frac{1}{2}\right)\times \text{base}\times \text{height}$

$=\left(\frac{1}{2}\right)\times 6\times 8$

$=24c{m}^2$