The length of the hypotenuse of a rigth triangle with sides of 6mm and 8mm?
The sides are a and b. The hypotenuse is c. Use the Pythagorean Theorem.
a^2 + b^2 = c^2
I'll be glad to check your answer.
That's only one step of the problem. But 100 isn't a reasonable length.
You forgot to take the square root of 100.
so the answer is 10?
Yes. The hypotenuse is 10 mm long.
To find the length of the hypotenuse in a right triangle, we can use the Pythagorean theorem. According to the Pythagorean theorem, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
In this case, the lengths of the other two sides are 6mm and 8mm. Let's call the length of the hypotenuse "c".
So, according to the Pythagorean theorem:
c^2 = 6^2 + 8^2
Simplifying the equation:
c^2 = 36 + 64
c^2 = 100
To find the length of c, we need to take the square root of both sides of the equation:
√c^2 = √100
c = 10
Therefore, the length of the hypotenuse is 10mm.