ShaylaO416933 ShaylaO416933
  • 03-11-2022
  • Mathematics
contestada

The legs of a right triangle measure 29 centimeters and 95 centimeters. How long is the hypotenuse in centimeters?

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HerberB205803 HerberB205803
  • 03-11-2022

In this question, the two legs of a right angle triangle are:

29 centimeters and 95 centimetres

To find the hypotenuse, let's use Pythagoras Theorem.

[tex]c^2=a^2+b^2[/tex]

where ,

a = 29 centimeters

b = 95 centimeters

c = hypotenuse

Therefore,

[tex]c^2=29^2+95^2[/tex][tex]c^2\text{ = 841 + 9025}[/tex][tex]c^2\text{ = 9866}[/tex]

Now take the square root of both sides

[tex]\sqrt{c^2\text{ = }}\sqrt{9866}[/tex][tex]c\text{ = 99.327}[/tex]

The hypotenus in centimeter is 99.3 centimeters

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