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suter [353]
3 years ago
8

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

Mathematics
1 answer:
Debora [2.8K]3 years ago
4 0
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.
\dfrac{\text{base}}{\text{hypotenuse}} =  \dfrac{\text{base}}{\text{hypotenuse}}

In this case, we could write it as:
\dfrac{\text{large base}}{\text{large hypotenuse}} =  \dfrac{\text{small base}}{\text{small hypotenuse}}

Input the numbers into the formula above
\dfrac{h}{280+70} = \dfrac{20}{280}
Simplify the fraction
\dfrac{h}{350} = \dfrac{20:20}{280:20}
\dfrac{h}{350} = \dfrac{1}{14}
Do cross multiplication
14 × h = 350 × 1
14h = 350
    h = 350/14
    h = 25

The value of h is 25
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