Question

A triangular reflection pool has an area of 350ft^2. If the height of the triangle is 25ft. What is the length of the hypotenuse to the nearest tenth??
A. 28.7 ft
B. 38.9 ft
C. 37.5 ft
D. 42.3 ft

Answer 1

so, you know the height and the area?

Answer 2

with that you need to get the size of the base, and with the pythagorean theorem you can easily get the size of the hypothenuse

Answer 3

\[A=\frac{ b*h }{ 2 }, 350=\frac{ b*25 }{ 2 }, b=700/25\]

Answer 4

have you figured out how you solve from here?

Answer 5

I am so confused

Answer 6

so you see, what you have to do first is to use the formula for the area to get the base of the triangle

Answer 7

you know its A=(b*h)/2, and you are already given the area (350) and the height (25), so you plug those in the formula and it should be something like 350(area)=(base*25(height))/2

Answer 8

so you have to clear the base in the right so you can solve it, and you would have first to multiply both sides of the formula by 2 (you may also have been taught that you pass the 2 that's dividing to the other side multiplying, but it is the same), and you would have this \[350=(base*25)/2, 2*(350)=2*((base*25)/2)\] and the 2 that multiplies goes with the one that divides \[700=base*25\]

Answer 9

then you divide both sides by 25 (the same as passing the 25 multiplying in the right to the left dividing)\[700/25=(base*25)/25\] and the 25 multiplying in the right side goes with the one dividing \[700/25=base=28\]

Answer 10

so now you now 2 of the sides of the right triangle