Question

Find the area of right angled triangle whose hypotenuse is 15 cm and one of the sides is 12 cm.

• A. $45c{m}^2$
• B. $54c{m}^2$
• C. $35c{m}^2$
• D. $27c{m}^2$

Answer 1

The correct option is B $54c{m}^2$

First we need to find the other side of the triangle:



We know that $A{B}^2=A{C}^2-B{C}^2$

= ${15}^2-{12}^2$

= 225 - 144

= 81

Therefore, AB = 9

Therefore, area of the triangle

= $\frac{1}{2}\times base\times height$

= $\frac{1}{2}\times 12\times 9$

= $54c{m}^2$