Question

What is the area of the triangle ? A) 64 B) 56 C) 48 D) 112

Answer 1

Answer:

$\text{B) }56\:\mathrm{cm^2}$

Step-by-step explanation:

The area of a triangle with height $h$ and base $b$ is given by $A=\frac{1}{2}bh$. By definition, the base and the height must intersect at a 90 degree angle. Therefore, the diagram gives a base of 14 cm and a height of 8 cm. Substituting these values, we get:

$A=\frac{1}{2}\cdot 8\cdot 14=\boxed{\text{B) }56\:\mathrm{cm^2}}$