What is the area of the triangle ?
A) 64
B) 56
C) 48
D) 112
![What is the area of the triangle A 64 B 56 C 48 D 112 class=](https://us-static.z-dn.net/files/d81/8988f342f102c10a191bb3086ff19af2.png)
Answer:
[tex]\text{B) }56\:\mathrm{cm^2}[/tex]
Step-by-step explanation:
The area of a triangle with height [tex]h[/tex] and base [tex]b[/tex] is given by [tex]A=\frac{1}{2}bh[/tex]. 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:
[tex]A=\frac{1}{2}\cdot 8\cdot 14=\boxed{\text{B) }56\:\mathrm{cm^2}}[/tex]