Question

He triangular pyramid shown is made up of four congruent triangles. The length of the base is 8 inches, and the height of the base is 6.9 inches. A triangular pyramid. Talia is finding the lateral area of the pyramid. She says that the expression 4 (one-half (8) (6.9)) represents the lateral area. Which explains whether Talia is correct and why? Talia is correct. The three faces have the same area as the base, and the area of the base is One-half (8) (6.9). Talia is correct. The lateral area can be found by approximating one large triangle, which can be found using the expression 4 (one-half (8) (6.9)). Talia is not correct. Only the base has an area of One-half (8) (6.9), and three other faces have a different area. Talia is not correct. The lateral area has three faces, so the expression should be 3 (one-half (8) (6.9)).

Answer 1

Answer:

Talia is not correct. The lateral area has three faces, so the expression should be 3 (one-half (8) (6.9)).

Step-by-step explanation:

A triangular prism has four triangles, three at the sides and one at the base.

A congruent shape has the same feature (side dimensions and angles), therefore all three sides of the prism, and the basal triangle have the same area (since they are congruent).

The area of the base will be One-half (8) (6.9), therefore each of the three sides too will have that same area.

Lateral area means only the areas of the sides excluding the base, therefore, the lateral area will be 3 (one-half (8) (6.9))