In isosceles triangle RST , $\overline{ \mathrm{RS}} \cong \overline{ \mathrm{ST}}$ . If $R S = 2 x + 3$ , $R T = x$ , and the perimeter of $\triangle R S T$ is 36, find the value of x .

Name: In isosceles triangle RST , $\overline{ \mathrm{RS}} \cong \overline{ \mathrm{ST}}$ . If $R S = 2 x + 3$ , $R T = x$ , and the perimeter of $\triangle R S T$ is 36, find the value of x .
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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{ \mathrm{RS}} \cong \overline{ \mathrm{ST}}RS≅ST If

In Isosceles Triangle RST $\overline{ \mathrm{RS}} \cong \overline{ \mathrm{ST}}$ If