Question

Triangle abc is a right traingle if side ac=7 and side bc= 10 what is the measure of ab?

Answer 1

Use the Pythagorean theorem for the right triangle
`ABC,` where


`AB` is the hypotenuse of the triangle;


`AC` and
`BC` are the other two sides.


So,


`(AC)^(2)+(BC)^(2)=(AB)^(2)\\\\ 7^(2)+10^(2)=(AB)^(2)\\\\ (AB)^(2)=49+100\\\\ (AB)^(2)=149\\\\ AB=√(149)`