Question

The base of a right triangle is $15cm$ and its hypotenuse is $25cm$. Then its area is:

• A. $187.5c{m}^2$
• B. $375c{m}^2$
• C. $150c{m}^2$
• D. $300c{m}^2$

Answer 1

The correct option is C $150c{m}^2$

Base $=15cm$, Hypotenuse $=25$ cm

$Height=\sqrt{{\left(Hypotenuse\right)}^2+{Base}^2}$

Using Pythagoras theorems,

$Height=\sqrt{{\left(25\right)}^2-{\left(15\right)}^2}=\sqrt{625-225}=\sqrt{400}=20cm$

Therefore, area of right triangle

$=\frac{1}{2}\times base\times height=\frac{1}{2}\times 15\times 2=150{cm}^2$