is an altitude for . If RV = 5, RS = 7, and WT = 4, find the length of altitude .
A)3
B)3.5
C)4
D)None of These

Question

is an altitude for  . If RV = 5, RS = 7, and WT = 4, find the length of altitude  .
A)3 
B)3.5 
C)4 
D)None of These

Quizplus · Accepted Answer

By the Pythagorean theorem, we have QT = sqrt(RV^2 - WT^2) = sqrt(25-16) = 3. Then using similarity of triangles QTU and SVW, we have TU/TW = QT/RS, so TU = (QT/RS) * TW = (3/7) * 4 = 12/7. Finally, using similarity of triangles TRU and WSV, we have altitude TR = (UT/SV) * WR = (12/7) * (7-4) = 12/7 * 3 = 36/7, which is approximately equal to 4. Therefore, the length of altitude 11ebfb55_24a3_f99f_9d86_8bd37a70ed08_TBX8811_11 is approximately equal to 4. So, the best choice is C.

Is an Altitude for