Question

Triangle XYZ is reflected over its hypotenuse to create a kite.the right triangle has an opposite side=5,adjacent side=12,hypotenuse=13
What is the approximate distance from Y to Y’? Round to the nearest tenth.

4.6 units
5.4 units
8.0 units
9.2 units

Answer 1

The answer would be 9.2

Answer 2

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