Question

The two triangles are congruent as suggested by their appearance. Find the value of c. The diagram is not to scale.

Answer 1

If the triangles are congruent, then their corresponding parts are also congruent.

First check to make sure the orientation of the triangles is correct. This is so we can easily compare corresponding parts.
Angle d is 180-90-52 = 38 degrees (sum of interior angles of triangle is 180 degrees), and this is the same as the angle on the triangle on the left.

Therefore the side with a length of 3 units is congruent to side c, which means side c is 3 units.

Answer 2

Answer: The required value of c is 3.

Step-by-step explanation: Given that the two triangles given in the figure are congruent as suggested by their appearance.

We are to find the value of c.

From the figure, we note that

the corresponding pairs of lengths of the sides of both the triangles are

(g, 5), (b, 4) and (3, c).

We know that

if two triangles are congruent, then the lengths of the corresponding sides are equal.

So, we get

g = 5, b = 4 and c = 3.

Thus, the required value of c is 3.