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Step2247 [10]
3 years ago
15

The pythagorean theroy if a 4=a 8=b what is c

Mathematics
2 answers:
katen-ka-za [31]3 years ago
5 0
If a = 4 and b = 8 are the legs and c is a <span>hypotenuse then:
</span>
a^2+b^2=c^2

Substitute:

c^2=4^2+8^2\\\\c^2=16+64\\\\c^2=80\to c=\sqrt{80}\\\\c=\sqrt{16\cdot5}\to c=4\sqrt5

If a = 4 and c are the legs and b = 8 is <span>hypotenuse, then:
</span><span>
</span><span>a^2+c^2=b^2
</span><span>
</span><span>Substitute:
</span><span>
</span><span>4^2+c^2=8^2\\\\16+c^2=64\ \ \ |-16\\\\c^2=48\to c=\sqrt{48}\\\\c=\sqrt{16\cdot3}\to c=4\sqrt3</span>

Minchanka [31]3 years ago
4 0
A^2+b^2=c^2
4^2+8^2=c^2
16+64=c^2
c^2=80
c=the square root of 80 or about 8.9442719......
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