Question

How would I find out what the variable “h” is??

Answer 1

Similar Triangle
The small triangle and the large triangle are similar triangles. They have the same proportion in the corresponding side. We could solve h by making a comparison of base-hypotenuse.

`\frac{\text{base}}{\text{hypotenuse}} = \frac{\text{base}}{\text{hypotenuse}}`

In this case, we could write it as:

`\frac{\text{large base}}{\text{large hypotenuse}} = \frac{\text{small base}}{\text{small hypotenuse}}`

Input the numbers into the formula above

`(h)/(280+70) = (20)/(280)`
Simplify the fraction

`(h)/(350) = (20:20)/(280:20)`

`(h)/(350) = (1)/(14)`
Do cross multiplication
14 × h = 350 × 1
14h = 350
h = 350/14
h = 25

The value of h is 25