ABC is congruent to DEF AB = 11, BC = 14, CA = 20, FD = 4x - 12 Find x
Since the triangles are congruent,
FD = CA
4x-12 = 20
4x=32
x=8
triangle ABC given that b=13m c=11m A=80
To find the value of x, we can use the fact that congruent triangles have corresponding sides that are equal in length.
Given that ABC is congruent to DEF, we know that AB is equal to DE, BC is equal to EF, and CA is equal to FD.
From the given information, we have AB = 11 and FD = 4x - 12.
Setting these equal to each other, we have:
11 = 4x - 12
To solve for x, we need to isolate the variable x. Let's solve the equation step-by-step:
11 + 12 = 4x
23 = 4x
Now, divide both sides of the equation by 4:
23/4 = x
Therefore, x = 5.75.
So, the value of x is 5.75.