Question

a kite is made up of two isosceles triangles, kit and ket, with the lengths shown. the top triangle of the kite, δkit, is made from approximately 17 square inches of material. how much material is used for the entire kite? round to the nearest square inch. 31 square inches 34 square inches 48 square inches 62 square inches heron’s formula: area = \\(\sqrt{s(s - a)(s - b)(s - c)}\\)

Explanation:

Step1: Analyze the kite structure

The kite is made of two isosceles triangles, \( \triangle KIT \) and \( \triangle KET \). Since \( KIT \) and \( KET \) are congruent (isosceles triangles with same side lengths), the area of the kite is twice the area of \( \triangle KIT \).

Step2: Use the given area of \( \triangle KIT \)

The area of \( \triangle KIT \) is 17 square inches. So the area of the kite is \( 2\times17 = 34 \) square inches.

Answer:

34 square inches