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.
[tex] \dfrac{\text{base}}{\text{hypotenuse}} = \dfrac{\text{base}}{\text{hypotenuse}} [/tex]
In this case, we could write it as:
[tex] \dfrac{\text{large base}}{\text{large hypotenuse}} = \dfrac{\text{small base}}{\text{small hypotenuse}} [/tex]
Input the numbers into the formula above
[tex] \dfrac{h}{280+70} = \dfrac{20}{280} [/tex]
Simplify the fraction
[tex] \dfrac{h}{350} = \dfrac{20:20}{280:20} [/tex]
[tex]\dfrac{h}{350} = \dfrac{1}{14} [/tex]
Do cross multiplication
14 × h = 350 × 1
14h = 350
h = 350/14
h = 25
The value of h is 25
