Question

The formula for the area of a triangle is A = bh/2, in which b represents the length of the base and hrepresents the height. If a triangle has an area of 115 mm2 and the height is 10 mm, what is the measureof the base? The measure of the base is _________mm.

Answer 1

23 mm

Step-by-step explanation

`A=(b\cdot h)/(2)`

Step 1

let

`\begin{gathered} \text{Area}=A=115mm^2 \\ \text{height = h= 10 mm } \end{gathered}`

Step 2

solve for base(b) and replace

`\begin{gathered} A=(b\cdot h)/(2) \\ 2A=b\cdot h \\ b=(2A)/(h) \\ \text{replace} \\ b=\frac{2(115mm^2)}{10\text{ mm}} \\ b=\frac{230mm^2}{10\text{ mm}} \\ b=23\text{ mm} \end{gathered}`

so, the base is 23 mm