Which of the following could be the side measures of a right triangle?
2 answers:
Answer:
A
Step-by-step explanation:
Because a^2+b^2=c^2 in a right triangle by Pythagorean's Theorem. So, the only one that works is 3^2+4^2=5^2 because 9+16=25.
Answer:
A) 5 FT, 4 FT, 3 FT
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i believe it is true.<span />
Answer: x=12
Step-by-step explanation:
![m\angle1=(x+13)^0 \ \ \ \ \ m\angle2=39^0\ \ \ \ m\angle3=(5x+4)^0\\](https://tex.z-dn.net/?f=m%5Cangle1%3D%28x%2B13%29%5E0%20%5C%20%5C%20%5C%20%5C%20%5C%20%20%20%20m%5Cangle2%3D39%5E0%5C%20%5C%20%5C%20%5C%20m%5Cangle3%3D%285x%2B4%29%5E0%5C%5C)
The sum of the angles of the triangle is 180°:
![(x+13)+39+(180-(5x+4))=180\\\\x+13+39+180-5x-4=180\\\\-4x+48=0\\\\-4x+48+4x=0+4x\\\\48=4x](https://tex.z-dn.net/?f=%28x%2B13%29%2B39%2B%28180-%285x%2B4%29%29%3D180%5C%5C%5C%5Cx%2B13%2B39%2B180-5x-4%3D180%5C%5C%5C%5C-4x%2B48%3D0%5C%5C%5C%5C-4x%2B48%2B4x%3D0%2B4x%5C%5C%5C%5C48%3D4x)
Divide both parts of the equation by 4:
![12=x\\\\Thus,\ x=12](https://tex.z-dn.net/?f=12%3Dx%5C%5C%5C%5CThus%2C%5C%20x%3D12)
Answer:
y=15
Step-by-step explanation:
The formula for direct variation is
y = kx
5 =k*2
Solve for k
Divide by 2
5/2 = k
y = 5/2 x
Now we substitute x=6
y = 5/2(6)
y = 15
Pretty sure it’s 5x^2 - 2x