laithalrefai2002 laithalrefai2002
  • 16-01-2024
  • Mathematics
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Find the missing side length if necessary round your answer to the nearest tenth

Find the missing side length if necessary round your answer to the nearest tenth class=

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rvkacademic
rvkacademic rvkacademic
  • 16-01-2024

Answer:

9.9 to the nearest tenth

Step-by-step explanation:

The given figure is a right triangle where the longest side is the hypotenuse

If we let c represent the hypotenuse length, a and b the other two sides, the Pythagorean theorem states

c² = a² + b²
or rewriting
a² + b² = c²

Here we are given the hypotenuse length as 42.8 (c) and one of the shorter sides as 11(call it a)

Therefore we get
11² + b² = 14.8²
121 + b² = 219.04

b² = 219.04 - 121 = 98.04

b = √98.04 ≈ 9.9 to the nearest tenth

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