Question

Answer #8 that can be seen on the picture please.

Answer 1

ANSWER

$\begin{gathered} EXPLANATION

The given triangle is an isosceles right triangle. This implies that the two angles that are not 90 degrees are equal and both have a measure of 45 degrees.

This implies that:

[tex]\begin{gathered} To find the missing side lengths, we have to apply the Pythagoras theorem:[tex]TD^2+DO^2=TO^2$

Since it is an isosceles triangle, the two sides TD and DO are equal. This implies that:

$\begin{gathered} TD^2+TD^2=TO^2 \\ \Rightarrow2TD^2=14^2^{}=196 \\ \Rightarrow TD^2=\frac{196}{2}=98^{} \\ \Rightarrow TD=\sqrt[]{98}=\sqrt[]{7\cdot7\cdot2} \\ TD=7\sqrt[]{2} \end{gathered}$

Therefore:

$DO=7\sqrt[]{2}$