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!