Question

What is the length of side x,y, and z

Answer 1

X =
`√(2)` , Y = 3 , Z = 10

Explanation:

using Pythagoras' identity in all 3 right triangles

X² = 1² + 1² = 1 + 1 = 2 ( take square root of both sides )

X =
`√(2)`

middle triangle

Y² = 1² + X² = 1 + (
`√(2)` )² = 1 + 2 = 3

triangle on right

Z² = 1² + Y² = 1 + 3² = 1 + 9 = 10