Question

If PT=u and QS=u–28, what is the value of u?

Answer 1

u = 56

Explanation:

the midsegment QS is half the length of the third side PT , that is

QS =
`(1)/(2)` PT ( substitute values )

u - 28 =
`(1)/(2)` u ( multiply through by 2 to clear the fraction )

2u - 56 = u ( subtract u from both sides )

u - 56 = 0 ( add 56 to both sides )

u = 56