In δabc, ac = bc side cd is the median of side ab with d belonging to side ab, ab = 4 in and cd = sqaure root of 3 in. find ac.

AC = √7 in

Step-by-step explanation:

ΔABC is isosceles, so ΔADC is a right triangle with AD = 2 in and CD = √3 in. The length of hypotenuse AC is found using the Pythagorean theorem.

... AC² = AD² +CD² = (2 in)² +(√3 in)² = (4 +3) in²

... AC = √7 in . . . . take the square root

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1

by definition, an arc subtended by a central angle of some given measure has the same measure. so .