if triangle XYZ,XY=21 and XZ=35 find YZ

Answer 1

I will assume that this is a right triangle, otherwise there is not enough information given.

If this is a right triangle, assuming that the larger number, 35, is the hypotenuse, then the missing side can be found using the Pythagorean Theorem: a² + b² = c2

For us, a=21, b is unknown, and c=35

(21)² + b² = (35)²

Subtract (21)² from both sides and find that

b² = (35)² - (21)² = 1225 - 441 = 784

So b² = 784

Take the square root of both sides and find that

b = 28, this is the length of YZ (assuming this was a right triangle with hypotenuse = 35)