Question

"If RU = 16, UT = 20, and SR = 16, what is the perimeter of SUT?"

"If SV = 38, SU = 26, and the perimeter of SUV is 102, what is the value of RU?"
"If SV = UV, SR = 4x - 1, and RU = x + 8, what is the value of SU?"

Answer 1

The perimeter of SUT is 72 units.

Step-by-step explanation:

To find the perimeter of SUT, we need to calculate the lengths of SU and UT and then add them together. Given that RU = 16 and UT = 20, we can use the fact that the sum of the lengths of the legs of a triangle is equal to the length of the third side. So, the length of SU can be found by subtracting the length of RU from the sum of the lengths of UT and SR. Therefore, SU = (UT + SR) - RU = (20 + 16) - 16 = 36 units. The perimeter of SUT is then given by adding the lengths of SUT together: SUT = SU + UT + ST = 36 + 20 + 16 = 72 units.