use the information given in the figure to find the length ru. if applicable, round your answer to the…
use the information given in the figure to find the length ru. 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 right - triangle SUT
In right - triangle SUT, by the Pythagorean theorem (SU^{2}=ST^{2}-UT^{2}). Given (ST = 73) and (UT = 55), we have (SU=\sqrt{ST^{2}-UT^{2}}=\sqrt{73^{2}-55^{2}}). [ \begin{align*} SU&=\sqrt{(73 + 55)(73 - 55)}\ &=\sqrt{128\times18}\ &=\sqrt{2304}\ & = 48 \end{align*} ]
Step2: Apply Pythagorean theorem in right - triangle RSU
In right - triangle RSU, by the Pythagorean theorem (RU^{2}=RS^{2}-SU^{2}). Given (RS = 52) and (SU = 48), we have (RU=\sqrt{RS^{2}-SU^{2}}=\sqrt{52^{2}-48^{2}}). [ \begin{align*} RU&=\sqrt{(52 + 48)(52 - 48)}\ &=\sqrt{100\times4}\ &=\sqrt{400}\ &=20 \end{align*} ]
Answer:
20