Use the Pythagorean theorem:
c - a hypotenuse
a, b - legs
We have: a = 9 and c = 12. Substitute:
<em>subtract 81 from both sides</em>
A Pythagorean triple consists of three positive integers a, b and c, such that
.
is not positive integer.
Answer: A) 126.6
<u>Step-by-step explanation:</u>
Since we know ∠B = 85° and ∠C = 53°, we can use the Triangle Sum Theorem (angles of a triangle = 180°) to calculate ∠A.
∠A + ∠B + ∠C = 180
∠A + 85 + 53 = 180
∠A + 138 = 180
∠A = 42
Now we have:
A = 42 B = 85 C = 53
a = 85 b = ??? c = ???
We have all of the information for ∠A and side a so we can use the Law of Sines to find b (AC).