Question

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

Answer 1

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.

Answer 2

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