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. Isosceles triangles K I T and K E T are connected at side K T. The length of K T is 10 inches. The length of sides K E and E T are 8 inches. The lengths of sides K I and I T are 6 inches. Heron’s formula: Area = StartRoot s (s minus a) (s minus b) (s minus c) EndRoot How much material is used for the entire kite, quadrilateral KITE? Round to the nearest square inch. 31 square inches 34 square inches 48 square inches 62 square inches.

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MrRoyal MrRoyal · Answer 1 · 2022-03-24T11:30:24+01:00

The material needed for the kite is the area of the kite

The amount of material needed for the entire kite is 48 square inches

The given parameters:

KI =6 inches

ET = 8 inches

KT=10 inches

Area of ΔKIT = 17 square inches

Start by calculating the area of the bottom triangle using:

Area = 0.5 * Base * Height

So, we have:

Area = 0.5 * KI * KT

This gives

Area = 0.5 * 6 * 10

Area = 30

The amount of material used is then calculated as:

Material = Area of the bottom triangle + Area of ΔKIT

This gives

Material = 30 + 17

Material = 47

This is approximately 48

Hence, 48 square inches of material is used for the entire kite