Compare the given dimensions of four triangles. which triangle is possible to construct? side lengths of 5 ft, 12 ft, and 13 ft side lengths of 2 ft, 11 ft, and 15 ft side lengths of 3 ft, 7 ft, and 11 ft side lengths of 4 ft, 8 ft, and 15 ft

The two shorter side lengths of a triangle must add up to be greater than the longest side length of the triangle.

1) side lengths of 5 ft, 12 ft, and 13 ft

5 ft + 12 ft > 13 ft

2) side lengths of 2 ft, 11 ft, and 15 ft

2 ft + 11 ft < 15 ft

3) side lengths of 3 ft, 7 ft, and 11 ft

3 ft + 7 ft < 11 ft

4) side lengths of 4 ft, 8 ft, and 15 ft

4 ft + 8 ft < 15 ft

Based on the four "triangle" dimensions, the only give dimensions that are able to construct a triangle are the first option because the two shorter side lengths (5 ft and 12 ft) are greater than the longest side length (13 ft).

Your answer is 1) side lengths of 5 ft, 12 ft, and 13 ft.

the answer is A side lengths of 5ft, 12ft, and 13ft

x = 10.1

step-by-step explanation:

all of the angles of a tirangle add up to 180º

180 - 65 = 115 (since we already know the value of one angle)

(2x + 7) + (8x + 7) = 115

(combins like terms) 10x + 14 = 115

(isolate the variable subtract 14 from both sides): 10x = 101

(find the variable divide both sides by 10): x = 101/10

x = 10.1