Question

Triangle abc is a right triangle if side ac=7 and bc=10 whats the measure of side ab

Answer 1

If ab is the hypotenuse (the longest side)
a^2 + b^2 = c^2....a and b are the legs and c is the hypotenuse
7^2 + 10^2 = c^2
49 + 100 = c^2
149 = c^2...now take sq rt of both sides....this gets rid of the ^2
sq rt 149 = c
12.21 = c

if ab is a leg
a^2 + b^2 = c^2
7^2 + b^2 = 10^2
49 + b^2 = 100
b^2 = 100 - 49
b^2 = 51
b = sq rt 51
b = 7.14