Question

If triangle ABC ≅ triangle DEC, what is the value of x?

Answer 1

Answer:  The correct option is (D) x = 1.

Step-by-step explanation:  Given that triangles ABC and DEC are congruent to each other.

We are to find the value of x.

From the figure, we note that

AB = 4x - 1, BC = 4, AC = 5,  DE = x+2, CE = 4 and EC = 5.

Since ΔABC ≅ ΔDEC, so their corresponding sides will be equal.

Therefore, we must have

$AB=DE\\\\\Rightarrow 4x-1=x+2\\\\\Rightarrow 4x-x=2+1\\\\\Rightarrow 3x=3\\\\\Rightarrow x=1.$

Thus, the required value of x is 1.

Option (D) is CORRECT.

Answer 2

So, You want to square 4 and 5. Subtract 16 from 25. then fix the squaring. After getting the missing side. You want to subtract 2 or add one and divide by four.

So x = 1. Hope this helps.