Answer: See below
Explanation:
For part a, we are given that the triangle is an isosceles triangle. That means the two sides that are marked are equal to each other. We set DE and EF equal to each other to find x.
5x-3=3x+7 [subtract both sides by 3x]
2x-3=7 [add both sides by 3]
2x=10 [divide both sides by 2]
x=5
We now know the value of x is 5.
For part b, all we have to do is plug in x=5 to find the length of each leg.
5(5)-3 [multiply]
25-3 [subtract]
DE=22 in
3(5)+7 [multiply]
15+7 [add]
EF=22 in
Now, we have the length of each leg. DE=22 in, EF=22 in
For part c, we do the same as above and plug in x=5 to find the length of the base.
6(5)-3 [multiply]
30-3 [subtract]
DF=27 in
Now, we have the length of the base. DF=27 in