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Triangle ABC has an Area of 4 3/8 square feet. If the length of AC IS 1 2/3 feet, what is the length of BC?

Triangle ABC has an Area of 4 3/8 square feet. If the length of AC IS 1 2/3 feet, what-example-1

1 Answer

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Answer:

length of BC = 5 1/4 feet

Explanation:

Area of a triangle = 1/2×base×height

Area = 4 3/8 square feet

Base = AC= 1 2/3 feet

Height = BC = ?

Area of a triangle = 1/2×base×height

4 3/8 = 1/2 × 1 2/3 × height

35/8 = 1/2 × 5/3 × height

35/8 = 5/6 × height

Height = 35/8 ÷ 5/6

= 35/8 × 6/5

= (35 × 6) / (8 × 5)

= 210 / 40

= 5 1/4 feet

Height = BC = 5 1/4 feet

length of BC = 5 1/4 feet

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