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3 years ago

PY=2, HP=3, find HY Geometry

Mathematics

1 answer:

klemol [59]3 years ago

5 0

Answer:

$HY=\sqrt{5}\ units$

Step-by-step explanation:

we know that

The triangle HPY is a right triangle (because the angle ∠HYP is a right angle)

Applying the Pythagorean Theorem

$HP^2=HY^2+PY^2$

substitute the given values

$3^2=HY^2+2^2$

Solve for HY

$9=HY^2+4$

$HY^2=9-4$

$HY^2=5$

$HY=\sqrt{5}\ units$

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$\large\underline{\underline{\maltese{\red{\pmb{\sf{\: Explanation :-}}}}}}$

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$\rule{300pt}{3pt}$

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$\rule{300pt}{3pt}$

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$\rule{300pt}{3pt}$

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