Question

what is the area of a right triangle whose height is x and hypotenuse is y?

Answer 1

0.5(\[\sqrt{y ^{2}-x ^{2}}\]*(x)

Answer 2

A = 1/2(base)(height)

the height is given which is your x.
so, you have to find the base.

in order to find the base,
use the pythagorean theorem c^2 = a^2 + b^2
so,
y^2 = x^2 + b^2

then, b = \[\sqrt{y ^{2}-x ^{2}}\]

Area = \[(x/2)(\sqrt{y ^{2}-x ^{2}})\]

Answer 3

same stuff

Answer 4

Thank you so much! This will really help in helping me study!

Answer 5

no problem

Answer 6

your welcome.