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You don't say whether this is a right triangle or not.
Assuming it is a right triangle, then we use the Pythagorean Theorem to determine the length of the hypotenuse:
(hypo) = (length of third side) = √(12^2 + 4^2) = √(144+16) = √160 = 4√10.
This is approx. 12.65 inches. Since this does not match any of the possible answer choices, we'll have to take a different approach to answering this question.
Given that 2 sides of the given triangle are 12 and 4 inches, respectively, we see that the 3rd side has to be longer than 8 inches; otherwise we'd have three line segments on the same line, not forming a triangle.
By this reasoning, 9 inches is the only possible answer that could be correct. With sides 12, 9 and 4 inches, the triangle would be obtuse and appear quite flat, but not be part of a straight line as with a third side of 8.
Answer:
1. a=85.8 c=89.2
2. x=29.7 8x=2937. 3
Step-by-step explanation:
2. 8x+x+27°+66°=360°
8x+x=360°-66°-27°
9x=267 >Then divide both sides with 9
x=<u>29</u><u>,</u><u>666666</u><u>.</u><u>.</u><u>.</u>
<u> </u><u> </u>
=8X
=8 (29,66666...)
=237,333...
1. 6X+4X+32°=180°
10X=180°-32
10X=148° >divide both sides with 10
X=14.8
A=6x c=4x+32
=6(14.8) =4(14.8)+32
= 88.8 =91.2
