use the information given in the figure to find the length ad. if applicable, round your answer to the…
use the information given in the figure to find the length ad. if applicable, round your answer to the nearest whole number. the lengths on the figure are not drawn accurately.
Answer
Explanation:
Step1: Apply Pythagorean theorem in $\triangle BDC$
In right - triangle $BDC$, by the Pythagorean theorem $BD^{2}=BC^{2}-DC^{2}$. Given $BC = 85$ and $DC=77$, we have $BD^{2}=85^{2}-77^{2}=(85 + 77)(85 - 77)=(162)\times(8)=1296$. So, $BD=\sqrt{1296}=36$.
Step2: Apply Pythagorean theorem in $\triangle ABD$
In right - triangle $ABD$, by the Pythagorean theorem $AD^{2}=AB^{2}-BD^{2}$. Given $AB = 60$ and $BD = 36$, we have $AD^{2}=60^{2}-36^{2}=(60 + 36)(60 - 36)=(96)\times(24)=2304$. So, $AD=\sqrt{2304}=48$.
Answer:
48