In isosceles triangle RST , $\overline { R S } \cong \overline { S T }$ . If $R S = 2 x + 3$ , $R T = x$ , and the perimeter of $\triangle R S T$ is 36, find the value of x .
A) $x = 5.5$
B) $x = 6$
C) $x = 6.5$
D) None of These

Question

Quizplus · Accepted Answer

Since RS = ST, we have 2(2x + 3) + x = 36. Solving for x gives x = 6.

In Isosceles Triangle RST RS‾≅ST‾\overline { R S } \cong \overline { S T }RS≅ST

In Isosceles Triangle RST $\overline { R S } \cong \overline { S T }$