The Pythagoras theorem states that
the sum of squares of the shorter sides (legs) of a right triangle equals the square of the third side.
A corollary from the same theorem helps us solve this problem:
If the sum of the squares of the shorter sides of a triangle is greater than the square of the third side, the included angle is acute. ..... (case 1)
Conversely, if the sum of the squares of the shorter sides of a triangle is less than the square of the third side, the triangle is obtuse. .....(case 2)
Here we have
6^2+10^2 = 36+100=136 <12^2=144
Therefore case 2 applies, and the triangle is obtuse.
Answer:
C.x2 + 12x + 4x + 48
Step-by-step explanation:
When x = 6.4, y=117, therefore
15*6.4 + b = 117
b = 117 - 96 = 21
Confirm this value by checking (6.6, 120).
15*6.6 + 21 = 120 (Correct)
Answer: b = 21