Question

The base of a right triangle is 15 cm and its hypotenuse is 25 cm. 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 $150c{m}^2$

Area of right $△=\frac{1}{2}\times base\times altitute$

Altitute $=\sqrt{{\left(AC\right)}^2-{\left(BC\right)}^2}$

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

$=\sqrt{400}=20cm$

Area of $△=\frac{1}{2}\times 15\times 20=150{cm}^2$