In triangle abc shown below, side ab is 10 and side ac is 8: triangle abc with segment joining point d on segment ab and point e on segment ac. which statement is needed to prove that segment de is parallel to segment bc and half its length?
a - segment ad is 5, and segment ae is 4.
b - segment ad is 4, and segment ae is 8.
c - segment ad is 4, and segment ae is 5.
d - segment ad is 5, and segment ae is 2.

A. Segment AD is 5, and segment AE is 4.

Step-by-step explanation:

Points D and E are midpoints. This means that AD and DB both add up to 10 and are congruent, and AE and EC both add up to 8 and are congruent. So AD= 10/2= 5 and AE= 8/2=4

hope this made sense! :)

answer: 20

step-by-step explanation:

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation: