Question

The area of a triangle is 92 cm2. the base of the triangle is 8 cm. what is the height of the triangle?

a. 11.5 cm

b. 23 cm

c. 4 cm

d. 46 cm

Answer 1

`(1)/(2)bh=A \ \ \ \ \text{[A=area, b=base, h=height] } \\ \\ (1)/(2)*8*h=92\\4h=92 \\ h = 92/4 \\ h=23 \ \text{cm }`

Answer 2

Answer: b. 23 cm

Explanation:

We know that area of a triangle is given by :-

`\text{Area}=(1)/(2)bh`, where b is the base of triangle and h is the height of the triangle.

Given : The area of a triangle is
`92\ cm^2`

The base of the triangle = 8 cm

Let h be the height of the triangle , then we have

`92=(1)/(2)(8)h\\\\\Rightarrow\ h=(92)/(4)\\\\\Rightarrow\ h = 23`

Hence, the height of the triangle = 23 cm