Question

8 mm
6 mm
What is the length of the hypotenuse?
millimeters

Answer 1

10 mm

Explanation:

`\text {Use the Pythagorean Theorem to solve for the hypotenuse.}\\ \\a^2+b^2=c^2\\\\\text {C is always the hypotenuse, while A and B are legs.} \\\text {We will solve for C to get the hypotenuse.}`

`8^2 + 6^2 =c^2\\\\\text {Solve the exponents.}\\8^2 = 64\\6^2 = 36\\\rightarrow 64 + 36 = c^2\\\\\text {Add 64 and 36.}\\64 + 36 = 100\\\rightarrow 100 = c^2\\\\\text {Take the square root of 100 to get c.}\\√(100) = 10\\\rightarrow c = 10`

`\text {The length of the hypotenuse is 10 millimetres.}`

Answer 2

10



a2+b2=c2
so 8 squared + 6 squared = 100
the square root of 100 is 10