Question

7. What is the length of the missing leg? H 61 cm 60 cm

Answer 1

Given:

The triangle is a right angle triangle then:

Use pythagorean theorem is:

`\text{hypotenuse}^2=base^2+perpendicular^2`

Here,

`\begin{gathered} \text{hypotenuse}=61 \\ \text{base}=60 \\ \text{perpendicular}=H \end{gathered}`

`\begin{gathered} (61)^2=(60)^2+(H)^2 \\ 3721=3600+H^2 \\ H^2=3721-3600 \\ H^2=121 \\ H=\sqrt[]{121} \\ H=\sqrt[]{(11)^2} \\ H=11 \end{gathered}`

So value of "H" is 11.