A right triangle has legs that measure 6cm and 10cm.

What is the length of the third side?

(1)

8cm

(2)

16 cm

132 cm

(4)

136 cm

A^2+b^2=c^2 it's the Pythagorean's theorem so it's 1) 8cm

6:10 simplifies to 3:5. The only Pythagorean triple that includes 3 and 5 is the ratio of 3:4:5. We divided by two to get the simplified ratio of the two given sides, so 1 "part" is 2. The missing segment of the ratio is 4 "parts," so the third side is 2*4, or 8 cm. Sorry if my explanation isn't clear.