Question

Triangle ABC is congruent to the Triangle DEF , EF=X^2 -7 , BC = 4X-2 ,Find the value of X? help guys

x has two values

Answer 1

x=5

Explanation:

Congruent triangles mean they have the same side lengths, so the equation here is x^2-7=4x-2. Then, solve the quadratic equation:

x^2-7=4x-2

x^2-4x-5=0

(x-5)(x+1)=0

x=5,-1

Since a side of a triangle can't be negative, the answer is 5.