LemuelE755685 LemuelE755685
  • 03-11-2022
  • Mathematics
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Find the missing length of the triangle. 14 cm 8.4 cm b The missing length is centimeters.

Find the missing length of the triangle 14 cm 84 cm b The missing length is centimeters class=

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BrierA206900 BrierA206900
  • 03-11-2022

Answer:

11.2cm

Explanation:

To be able to determine the missing length, we have to apply the Pythagorean Theorem which states that, in a right-angled triangle, the square of the hypotenuse(the longest side) is equal to the sum of squares of the other two sides.

Let's go ahead and find b as follows;

[tex]\begin{gathered} 14^2=8.4^2+b^2 \\ 196=70.56+b^2 \\ 196-70.56=b^2 \\ 125.44=b^2 \\ b=\sqrt[]{125.44}=11.2\operatorname{cm} \end{gathered}[/tex]

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