Use the given information to find the lengths of the other two sides of the right triangle if side a is opposite angle A, side b is opposite angle B, and side c is the hypotenuse. cos(B) = 4/5, a = 8
1 answer:
SOH CAH TOA tells you
... cos(B) = a/c
... 4/5 = 8/c
... c = 10 . . . . . multiply by 5c/4
By the Pythagorean theorem,
... b = √c² -a²) = √(10² -8²) = √36 = 6
The lengths of the other two sides are: b = 6, c = 10 .
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You can tell from the value of the cosine that this is a 3-4-5 right triangle. You can tell from the value of "a" that the scale factor is 2. That means the other two sides are 6 and 10.
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4 skateborards will be repaired
Perimeter = 140
Side 1 = x
Side 2 = 2x
Side 3 = 3x - 10
x + 2x + 3x - 10 = 140
6x - 10 = 140
6x = 150
x = 25
Side 1 = 25 cm
Side 2 = 50 cm
Side 3 = 65 cm
Hope this helps!! :)