Answer:
Step-by-step explanation:
Unless you know that the top angle is a right angle (an assumption you should never make, but I will do it here because there is no other way to do it.)
Find the missing side of the triangle that is on the bottom triangle
b^2 = c^2 - a^2
b = ?
c = 11
a = 10
b^2 = 11^2 - 10^2
b^2 = 121 - 100
b = sqrt(21)
Now using the fact that
b / 10 = 10 / (x - b)
We know b from the previous problem
b = sqrt(21)
So now cross multiply
b ( x - sqrt(21) ) = 100
sqrt(21) * x - 21 = 100 Add 21 to both sides.
sqrt(21)x = 121 Divide by sqrt(21)
x = 121/sqrt(21)
x = 26.4
My first inclination is to tell your teacher it is unsolvable. Or you can ask him or her to show you how it is done. If they think the assumption I have made is correct, then you have the answer. Technically however, there is no answer.
