Question

Fine the missing length indicated.

Answer 1

The answer would be x=144

Answer 2

144

Explanation:

the height is sqrt(65^2-25^2) = 60

the length of the unknow side of the largest triangle is sqrt((25+x)^2-65^2)

or also sqrt(x^2+60^2)

set them to equal

sqrt((25+x)^2-65^2) = sqrt(x^2+60^2)

==> x = 144