For the values a = 7.2 which is a leg of a right triangle, and value c = 11.1, which is the hypotenuse, find the length of the other leg, b, to the nearest tenth.

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Mathematics

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9 November, 15:55

For the values a = 7.2 which is a leg of a right triangle, and value c = 11.1, which is the hypotenuse, find the length of the other leg, b, to the nearest tenth.

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Answers (2)

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Rihanna Schmitt · Answer 1

Rihanna Schmitt 9 November, 17:22

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The answer is b=8.4

Immanuel Dyer · Answer 2

Phythagoras theorem:

hypotenuse²=leg₁²+leg₂²

dа ta:

leg₂=7.2

hypotenuse=11.1

Therefore:

(11.1) ₂=leg₁² + (7.2) ²

123.21=leg₁²+51.84

leg₁²=123.21 - 51.84

leg₁²=71.37

leg¹=√ (71.37)

leg₁=8.4

Answer: b=8.4