It's a parallelogram so if one angle is 90 degrees they all will be because of transverse angles and all that good stuff.
So we're given the diagonal of a rectangle and one side and we're asked to find the other. The diagonal of a rectangle is the hypotenuse of the right triangle whose legs are the sides of the rectangle. So this is a Pythagorean Theorem question in disguise:
Answer: 140 cm
I don't recall seeing this Pythagorean Triple before.
Answer:
The GCF is .
Step-by-step explanation:
The GCF is the greatest common factor between both terms.
Look at each term and its pieces, then compare.
- 3 and 8 have not common factors.
- and have a common factor of.
- and have as a common factor.
So
The GCF is .
We know that the shortest leg of the largest right triangle (hypotenuse length 16) has a length of the square root of (y^2 + 16) through the pythagoras theorem. We also know that x is equal to the square root of (144 + y^2) as well. Finally, we know that 256 = (y^2 + 16) + (y^2 + 144), since we use the pythagoras theorem one last time and square each of the values we have got for the two legs of the largest right triangle. Therefore, 256 = 2y^2 + 160, 96 = 2y^2, 48 = y^2, y= sqrt48 = 4sqrt3 =
.
i think the answer is 122,400