The two sides of a triangle are 17 cm and 28 cm long, and the length of the median drawn to the third side is equal to 19.5 cm. Find the distance from an endpoint of this median to the longest side. Please help me. :(

Question

The two sides of a triangle are 17 cm and 28 cm long, and the length of the median drawn to the third side is equal to 19.5 cm. Find the distance from an endpoint of this median to the longest side.   Please help me. :(

anonymous · Answer

Sides would be 17, 25, and 28

anonymous · Answer

7.5 would be the distance.

anonymous · Answer

How did you get it? I need a solution thanks :)

anonymous · Answer

I'm not sure if I did it right. I do math mentally so I'm not good at explaining steps. I'm trying to get my best friend to help me word my steps.

hesan · Answer

what do u mean by  "Find the distance from an endpoint of this median to the longest side".

anonymous · Answer

I don't know. That's what the sentence said.

anonymous · Answer

use the equation: $$m=\frac{ 1 }{ 2 }\sqrt{2a ^{2}+2b^2-c^2}$$
$$19.5=\frac{ 1 }{ 2 }\sqrt{2(28)^2+2(17)^2-c^2}$$
This will give us the third side: 25