CaigeF496800 CaigeF496800
  • 04-11-2022
  • Mathematics
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Find the length of the third side. If necessary, round to the nearest tenth.1014

Find the length of the third side If necessary round to the nearest tenth1014 class=

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LliamN661914 LliamN661914
  • 04-11-2022

We are given a right-angled triangle.

Two sides are given and the third side is unknown.

Since it is a right-angled triangle, we can apply the Pythagorean theorem given by

[tex]c^2=a^2+b^2[/tex]

Where c is the longest side, a and b are the shorter sides.

For the given case, we are given the longest side and one shorter side.

[tex]\begin{gathered} c^2=a^2+b^2 \\ a^2=c^2-b^2 \\ a^2=14^2-10^2 \\ a^2=196-100 \\ a^2=96 \\ a=\sqrt[]{96} \\ a=9.8 \end{gathered}[/tex]

Therefore, the length of the third side is 9.8

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