Question

the area of the triangle is 700 square centimeters. what is the triangles height, h? h = centimeters

Explanation:

Step1: Recall area formula

The area formula for a triangle is $A=\frac{1}{2}\times base\times height$, where $A$ is the area, $base$ is the base - length and $height$ is the height of the triangle. Here, $A = 700$ square - centimeters and $base=35$ cm.

Step2: Rearrange the formula to solve for height

We start with $A=\frac{1}{2}\times base\times height$. Rearranging for $height$, we get $height=\frac{2A}{base}$.

Step3: Substitute the given values

Substitute $A = 700$ and $base = 35$ into the formula: $h=\frac{2\times700}{35}$.
First, calculate $2\times700 = 1400$. Then, $\frac{1400}{35}=40$.

Answer:

40