Question

Find the missing the side of the triangle.A. √30 ydB. √17 ydC. 2√5 ydD. 0 yd

Answer 1

For the given triangle, hypotenuse side is x and length of legs of right triangle is,

`\sqrt[]{10}\text{ yards}`

Determine the value of x by using pythagoras theorem in right angle triangle.

`\begin{gathered} x=\sqrt[]{(\sqrt[]{10})^2+\sqrt[]{10})^2} \\ =\sqrt[]{10+10} \\ =\sqrt[]{20} \\ =\sqrt[]{2\cdot2\cdot5} \\ =2\sqrt[]{5} \end{gathered}`

Answer: Option C (2√5 yd)