Question

The height of a triangle is 4 m less than its base. The area of the triangle is 48 m².

What is the length of the base?



Enter your answer in the box.

____m?

Answer 1

12m

Explanation:

48/4=12

Answer 2

`Answer: \\ Let\: x\: be \: the \: base\Rightarrow the \: height:x - 4 \\ We \: have \: an \: equation: (x(x - 4))/(2) = 48 \\ \Leftrightarrow {x}^(2) - 4x = 96 \\ \Leftrightarrow {x}^(2) - 4x + 4 = 100 \\ \Leftrightarrow {(x - 2)}^(2) = 100 \\ \Leftrightarrow x - 2 = 10 \: \vee \: x - 2 = - 10 \\ \Leftrightarrow x = 12\: \vee \:x = - 8 \\ \Rightarrow x = 12 \: (x \: can't \: be \: negative) \\ \Rightarrow Length \: of \: the \: base:12 \: m`