Question

Consider the figure of kite ABCD. Segment EA is 10 units, EC is 80 units, and EB is 24. Determine the length of DC. Round your answer to the nearest tenths. (2 points) D A E 80 124 B

Answer 1

ANSWER:

$DC=83.5$

STEP-BY-STEP EXPLANATION:

We have that the sides EB and ED are equal, therefore ED measures 24 units.

Therefore, a right triangle is formed where the legs are ED and EC and the hypotenuse is DC.

We apply the Pythagorean theorem which is the following:

$h^2=a^2+b^2$

In this case would be:

$\begin{gathered} DC^2=ED^2+EC^2 \\ DC^2=24^2+80^2 \\ DC^2=576+6400 \\ DC=\sqrt[]{6976} \\ DC=83.5 \end{gathered}$