Answer:
can you post the full question??
Answer:
The other leg is 4 m long, and the hypotenuse is 5 m long
Step-by-step explanation:
Recall that the longest side of a right angle triangle is its hypotenuse, and that the legs and hypotenuse must verify the Pythagorean identity:
![hyp^2=leg_1^2+leg_2^2](https://tex.z-dn.net/?f=hyp%5E2%3Dleg_1%5E2%2Bleg_2%5E2)
so, we know that the other two sides have consecutive integers for lengths. That is: if one is "x" in length, the other one must be "x+1"
So we can assume that the largest of this is the hypotenuse: "x+1"
Not, they must verify the Pythagorean identity:
![hyp^2=leg_1^2+leg_2^2\\(x+1)^2=x^2+3^2\\x^2+2\,x+1=x^2+9\\2\,x+1=9\\2\,x=8\\x = 4](https://tex.z-dn.net/?f=hyp%5E2%3Dleg_1%5E2%2Bleg_2%5E2%5C%5C%28x%2B1%29%5E2%3Dx%5E2%2B3%5E2%5C%5Cx%5E2%2B2%5C%2Cx%2B1%3Dx%5E2%2B9%5C%5C2%5C%2Cx%2B1%3D9%5C%5C2%5C%2Cx%3D8%5C%5Cx%20%3D%204)
then, the other side is of length 4 m, and finally the hypotenuse is of length 4+1 = 5 m
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Answer:
its the power of something like 2^2 equals 4 3^3 equals9 5^5 equals 25 and so on