Question

A triangle has an area of 100 square feet and a height of 5 feet. What is the length of the base of the triangle? 10 ft 20 ft 40 ft 160 ft

Answer 1

20 ft is your answer

Answer 2

Answer:  The correct option is (C) 40 ft.

Step-by-step explanation:  Given that a triangle has an area of 100 square feet and a height of 5 feet.

We are to find the length of the base of the triangle.

We know that

the AREA of a triangle with base length 'b' units and height 'h' units is given by

$A=\dfrac{1}{2}\times b\times h.$

In the given triangle,

Area, A = 100 sq. ft,  base length, b = 5 ft and  height, h = ?

Therefore, we have

$A=\dfrac{1}{2}\times b\times h\\\\\\\Rightarrow 100=\dfrac{1}{2}\times b\times 5\\\\\\\Rightarrow 200=5b\\\\\\\Rightarrow b=\dfrac{200}{5}\\\\\\\Rightarrow b=40.$

Thus, the length of the base of triangle is 40 feet.

Option (C) is correct.