Question

What is the length of the unknown LEG of the right triangle usingthe Pythagorean Theorem? Use the calculator provided and scratchpaper to show your work.a = 5 inchesb =C = 13 inchesHINT: Substitute in PythagoreanTheorem Formula with a = 5 and C = 13

Answer 1

The relation between sides of right triangle is,

`a^2+b^2=c^2`

Substitute 5 for a, and 13 for c in the equation to obtain the value of b.

`\begin{gathered} (5)^2+b^2=(13)^2 \\ b^2=169-25 \\ b=\sqrt[]{144} \\ =12 \end{gathered}`

Thus length of unknown leg of right triangle is 12.