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

Question

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Respuesta :

MrRoyal MrRoyal · Answer 1 · 2022-07-25T19:25:16+02:00

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:

A = 0.5 * Base * Height

This gives

A = 0.5 * 10 * 6

Evaluate

A = 30

The amount of material is

A = 30 + 17

A = 47

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