# A certain triangle has two angles that have the same measure. If the length of two of the sides of the triangle is 50 and 30, what is the LEAST possible value for the perimeter of the triangle?

Aug 6, 2018

color(purple)("Least possible Perimeter " P = 2 * 30 + 50 = 110 " units"

#### Explanation:

Since two angles are equal, their corresponding opposite sides will also be equal according to theorem ,

color(blue)("Equal sides will have equal angles opposite to them"

To get the least perimeter, color(green)(LEG (l)" should be " 30 and color(red)(BASE (b) = 50

$\text{Perimeter of } \Delta = P = 2 l + b$

$\text{Given } l = 30 , b = 50$

color(purple)(P = 2 * 30 + 50 = 110 " units"