Triangle ABC is a right triangle. If side AC=5 and side BC=6, What is the measure of side AB which is the hypotenus
To find the measure of the hypotenuse AB in a right triangle, you can use the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, side AC is given as 5 and side BC is given as 6. Let's label AB as "c".
The Pythagorean theorem formula is:
c^2 = a^2 + b^2
where c represents the hypotenuse, and a and b represent the other two sides of the triangle.
In this case, a = 5 and b = 6.
So, plugging in the values:
c^2 = 5^2 + 6^2
c^2 = 25 + 36
c^2 = 61
Finally, take the square root of both sides to find the measure of the hypotenuse AB:
c = √61
Therefore, the measure of side AB (the hypotenuse) is approximately √61 (square root of 61).
AB^2=5^2+6^2
AB^2=25+36
AB^2=61
AB=SQRT61
AB=7.81