Question

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Answer 1

Step 1. Define the hypotenuse of the triangle as "c":

`c=10m`

Step 2. Define the known leg of the right triangle as "a":

`a=8m`

Step 3. We will use the Pythagorean theorem to solve the problem.

The Pythagorean theorem relates the hypotenuse c of a right triangle, with its legs a and b as follows:

`a^2+b^2=c^2`

So we can substitute the known values for a and c:

`(8m)^2+b^2=(10m)^2`

Solving the exponents:

`64m^2+b^2=100m^2`

Step 4. Solve to find the value of b (the other leg of the triangle).

To solve for b, first, we subtract 64m^2 to both sides of the equation:

`b^2=100m^2-64m^2`

And we get:

`b^2=36m^2`

The last step to solve for b, is to take the square root of both sides of the equation:

`\sqrt[]{b^2}=\sqrt[]{36m^2}`

On the left side we get "b":

`b=\sqrt[]{36m^2}`

And on the right side, we get 6m:

`b=6m`

Answer: 6m