The base of an isosceles triangle is 7 cm longer than the legs. Find the legs if the perimeter of the triangle is 43 cm.

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Respuesta :

One leg is 12cm. You make the equation 7+3x=43 and solve to get 12.
haneul
An isosceles triangle has two congruent sides. We can give variables for each value. Let one congruent side length be x. Let the base equal x+7. Now, we write an equation.
x+x+x+7=43
3x+7=43
3x+7-7=43-7
3x=36
[tex] \frac{3x}{3} [/tex]=[tex] \frac{36}{3} [/tex]
x=12
One leg is 12 cm. Combined, they are 24 cm.
Hope that helped you!