If a triangle has a side length of 5 inches and another side length of 7 inches, which of the following choices for the third side length will make a triangle?
a. 1 inch
b. 2 inches
c. 6 inches
d. 13 inches

d. 13 inches

Step-by-step explanation:

When we need to solve the side length and length of triangles, we need to remember one thing.

Coming to a right triangle, there are two short sides and one long side, and the two short sides need to add up to something less than the one long side.

Therefore, since we know our two short sides, add them :

7in. + 5in.

= 12in.

Looking at the answers, we can point out that d. is greater than 12 inches, therefore making it the correct answer.

B

Step-by-step explanation:

The 2 triangles are similar, so the corresponding sides are in proportion, that is

= , substitute values

= ( cross- multiply )

12 DE = 72 ( divide both sides by 12 )

DE = 6 → B