Answer:
b=11.6m
Step-by-step explanation:
If this is a right triangle;
a^2+b^2=c^2
A and B are both LEGS, while C is the HYPOTENUSE
(8.7^2)+b^2=(14.5^2)
b^2=(14.5^2)-(8.7^2)
b^2=134.56
b=plus or minus 11.6
Because length can't be negative, it's +11.6
First, find the hypotenuse of the triangle with leg lengths 4 and 4. Use special triangle theorem:
1:1:sqrt(2) 4:4:4*sqrt(2)
Use the Pythagorean Theorem to find x:
2^2 + (4sqrt2)^2 = x^2
x^2 = 36
x = 6, or choice (D).
The easiest way is to just solve the equation.
4x - 4 = -4x + 60
4x + 4x = 4 + 60
8x = 64
x = 8
A slower way to do this is to plug each of the numbers into the equation to see which makes the equation is true.
So for A.
4(8 - 1) = -4(8) + 60
4(7) = -32 + 60
28 = 28
Fortunately, this is true, so A is the answer and you don't have to try the other options.
