austin125
austin125 austin125
  • 10-06-2018
  • Mathematics
contestada

Find the length of the side not given when c is the hypotenuse and a and b are the legs. A=9 and C=13

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gmany
gmany gmany
  • 10-06-2018
Use the Pythagprean theorem:
[tex]c^2=a^2+b^2[/tex]
We have:
[tex]a=9;\ c=13[/tex]
Substitute:
[tex]9^2+b^2=13^2\\\\81+b^2=169\ \ \ |-81\\\\b^2=88\to b=\sqrt{88}\\\\b=\sqrt{4\cdot22}\\\\Answer:\ b=2\sqrt{22}\approx9.38[/tex]

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Creati
Creati Creati
  • 10-06-2018
Hey there! :)

You have to use the Pythagorean Theorem: a² + b² = c²

a² + b² = c² → c² - a² = b²

c = 13
13² = 13 × 13 = 169

a = 9
9² = 9 × 9 = 81

169 - 81 = 88

√88 = 9.38 

b = 9.38

Hope this helps :)
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