Answer:
Option d .2 units
Step-by-step explanation:
Given that triangle XYZ is reflected over its hypotenuse to create a kite.the right triangle has an opposite side=5,adjacent side=12,hypotenuse=13
i.e. the kite will have one diagonal = 13 units.
To find out the other diagonal. The other diagonal will be intersected by hypotenuse at right angles at mid point.
Hence required length half would be the altitude for XYZ with base 13
area of triangle XYZ = 1/2 bh = 1/2 (5)(12) = 30 sq units
Same area also can be calculated using base as 13.
Area = 1/2 (13) (d/2) where d = YY' = other diagonal
Equating 13d = 120
Or d = 9.23 units
Rounding off we get option d
