Question

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

Answer 1

10



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

Answer 2

Answer:

10 mm

Step-by-step explanation:

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

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

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