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dezoksy [38]
2 years ago
13

The hypotenuse of a right triangle measures 16 cm and one of its legs measures 9 cm. Find the measure of the other leg. If neces

sary, round to the nearest tenth.
Mathematics
1 answer:
Vesnalui [34]2 years ago
6 0

\sf\huge\underline{\star Solution:-}

<h3><u>Given that</u>:</h3>
  • Hypotenuse of a right triangle = \sf\blue{16cm.}
  • One side (leg) = \sf\blue{9cm.}

<h3><u>To Find</u>:</h3>
  • Measure of another side(leg).

<h3><u>Solution</u>:-</h3>

\rightarrow As we know that,

\sf{A^2 +B^2 \:=\: C^2}(Pythagoras Theorem)

So, using this formula we can find measure of another side(leg).

\rightarrow\sf{A^2 +B^2 \:=\: C^2}(putting the value of both given side of triangle)

  • Here I am putting the value of hypotenuse in C because it is the longest side of triangle.

\rightarrow \sf{9^2 +B^2 \:=\: 16^2}

\rightarrow \sf{81 +B^2 \:=\: 256}

\rightarrow \sf{B^2 \:=\: 256-81}

\rightarrow \sf{B^2 \:=\: 175}

\rightarrow \sf{B \:=\: \sqrt{175}}

\rightarrow \sf{B\:=\: 13.22(approx)}

Therefore, measure of another side (leg) of the triangle = \sf\purple{ 13.22(approx).}

____________________________________

Hope it helps you:)

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