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

B) 1/2 pr

Explanation:

The area of the triangle is given by:

`A = (1)/(2) \text { Base }* \text { Height }`

In the given figure, the base of the triangle is from (0,0) to (p,0) =
`√((p-0)^2+(0-0)^2)= p`

The height of the triangle is from (0,0) to (0,r) =
`√((0-0)^2+(r-0)^2)= r`

`\Rightarrow A = (1)/(2)p r`

Thus, the area of the given triangle is
`(1)/(2)p r`. Option B is correct.