Question

Which expression represents the area of the triangle?

A) pr

B) 1/2 pr

C) p + r

D) pr (to the second power)

Answer 1

The answer should be B since p represents the base of the triangle and r as the height

Area of a triangle = 1/2 x base x height

Answer 2

Answer:

B) 1/2 pr

Step-by-step explanation:

The area of the triangle is given by:

$A = \frac{1}{2} \text { Base }\times \text { Height }$

In the given figure, the base of the triangle is from (0,0) to (p,0) = $\sqrt{(p-0)^2+(0-0)^2}= p$

The height of the triangle is from (0,0) to (0,r) =  $\sqrt{(0-0)^2+(r-0)^2}= r$

$\Rightarrow A = \frac{1}{2}p r$

Thus, the area of the given triangle is $\frac{1}{2}p r$. Option B is correct.