Question

Omar wants to measure the width of a river. He marks off two right triangles, as shown in the figure. The base of the larger triangle has a

length of 64 m, and the base of the smaller triangle has a length of 31 m. The height of the smaller triangle is 19.8 m. How wide is the
river? Round your answer to the nearest meter. (The figure is not drawn to scale.)
19.8 m
River
A
31 m
64 m
?
A
m
X
Ś

Answer 1

41 meters

Explanation:

`(31)/(64)` =
`(19.8)/(x)`

31x = (19.8)(64)

31x = 1267.2 Divide both sides by 31 and round

x = 41