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DPH is an isosceles right triangle. Determine the missing lengths.

DPH Is An Isosceles Right Triangle Determine The Missing Lengths class=

Sagot :

Since DPH is an isosceles right triangle, the legs have the same length, so DH = HP

If the hypotenuse DP is equal √14, we can calculate the legs (x) using Pythagorean Theorem:

[tex]\begin{gathered} DP^2=DH^2+HP^2 \\ (\sqrt[]{14})^2=x^2+x^2 \\ 2x^2=14 \\ x^2=7 \\ x=\sqrt[]{7} \end{gathered}[/tex]

So the missing lengths are HP = √7 and DH = √7.

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