Question

8. Solve for the lengths of XZ and YZ.

Picture Down Below

Answer 1

XZ = 9 cm

YZ = 12.72 cm (you can round to 12.7)

Explanation:

it is a right isosceles triangle, 2 congruent sides and 2 congruent angles, so XZ = XY (9 cm). we find YZ with the Pythagoras theorem

YZ =
`√(9^2+9^2)`

YZ =
`√(81 + 81 )`

YZ =
`√(162)`

YZ = 12.72 cm