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.
9514 1404 393
Answer:
- x/45 = 9 m/30
- x = 13.5 . . . meters
Step-by-step explanation:
In similar triangles, corresponding sides are proportional. This lets us write an equation involving x. Sides adjacent are proportional to sides opposite the vertical angle.
x/45 = 9/30
__
Multiplying by 45 gives the solution:
x = 45(9/30) = 13.5 . . . meters