What is the hypotenuse of a triangle with legs of $5$ $5$ and $9$ $9$ ?

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Answer 1 · 2018-03-18T03:23:11

$Hypotenuse = \sqrt{106} \approx 10.3 units$ $"Hypotenuse" = sqrt106 approx 10.3" units"$

Use the Pythagoras theorem

$H^{2} = B^{2} + P^{2}$ $H^2 = B^2 + P^2$

Here , B and P are the legs of the triangle.

$\Rightarrow H^{2} = 9^{2} + 5^{2}$ $=> H^2 = 9^2 + 5^2$

$\Rightarrow H^{2} = 81 + 25$ $=> H^2 = 81+25$

$\Rightarrow H^{2} = 106$ $=> H^2 = 106$

$\Rightarrow H = \sqrt{106} \approx 10.3 units$ $=> H = sqrt106 approx 10.3 " units"$

What is the hypotenuse of a triangle with legs of 55 and 99?