Question

The hypotenuse of a right triangle is 26 millimeters. one leg of the right triangle is 10 millimeters. what us the length of the other leg?

A.) 18 millimeters
B.) 20 millimeters
C.) 24 millimeters
D.) 28 millimeters

Answer 1

C.) 24 millimeters
our triangle's hypotenuse is 26^2 or 676
Formula for hypotenuse A^2 + B^2= C^2
we know one leg so plug it in the formula 10^2=100 and we now the hypotenuse 26^2=676
new equation 100+B^2=676
we now that if we square 28 it would be too much and 18 would be too low, but if we plug in 24^2=576, and then add 100 it sums up to 676

Answer 2

C

Use A^2+B^2=C^2

10*10+B^2=26*26

100+B^2=676

B^2=676-100

B^2`=576

B=24