In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. If a=3.9 millimeters and b=6.6 millimeters, what is c? If necessary, round to the nearest tenth.
c=
millimeters
3 answers
c= 7.6 millimeters
how did u slove this
To find the length of the hypotenuse (c) in a right triangle, you can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
In this case, we have:
a = 3.9 mm
b = 6.6 mm
So, using the Pythagorean theorem:
c^2 = a^2 + b^2
c^2 = 3.9^2 + 6.6^2
c^2 = 15.21 + 43.56
c^2 = 58.77
To solve for c, we take the square root of both sides:
c = √58.77
c ≈ 7.6 mm
Therefore, the length of the hypotenuse is approximately 7.6 mm.
In this case, we have:
a = 3.9 mm
b = 6.6 mm
So, using the Pythagorean theorem:
c^2 = a^2 + b^2
c^2 = 3.9^2 + 6.6^2
c^2 = 15.21 + 43.56
c^2 = 58.77
To solve for c, we take the square root of both sides:
c = √58.77
c ≈ 7.6 mm
Therefore, the length of the hypotenuse is approximately 7.6 mm.