Exercise 16 Page 68

To check our answer, we will find the area and the perimeter of two congruent triangles.

Since both figures are congruent, the corresponding sides and the corresponding angles are congruent. Now, recall the formula for the area of a triangle. A=1/2bh Here, b is the base and h is the height of the triangle. We will find the area of each triangle. Let's start with the blue one. In this case, the base length is 3 meters and the height is 4 meters. We can substitute these values into the above formula and calculate the area. The area of the blue triangle is 4 square meters. Now, we will find the area of the red triangle. Since the triangles are congruent, the length of the corresponding sides is the same. Then, the base length of the red triangle is 3 meters and the height is 4 meters. Let's substitute these values into the formula for the area of a triangle. The area of the red triangle is equal to the area of the blue triangle. Next, we can calculate the perimeter of each figure. Remember that the perimeter is the sum of all the sides lengths. Again, we will start with the blue figure. We know that the length of the sides are 3, 4, and 5. P= 3 + 4 +5 = 12 The perimeter of red figure will be also the same because the sides lengths are equal. P= 3 + 4 +5 = 12 Therefore, our answer is correct.