125k views
9 votes
What is the length of the missing leg of ️XZY if: |X2 = 10 and |XY = 26 X​

What is the length of the missing leg of ️XZY if: |X2 = 10 and |XY = 26 X​-example-1
User Riley C
by
6.5k points

2 Answers

5 votes
The length of the missing leg is IXY=
User EyasSH
by
5.5k points
4 votes

Explanation:

xz = 10

XY = 26

let ZY = x

xyz is a right angle triangle

XY^2 = xz^2 + zy^2

26^2 = 10^2 + x^2

676 = 100 +x^2

√576 = x^2

x = 24

hence ZY = 24

User Shadowfacts
by
6.0k points