Question

. ΔXYZ is an isosceles triangle with XY = XZ and O is the midpoint of YZ.

In the following proof, supply the missing reasons.

a) XY = XZ (………………..)

b) XO = XO (………………..)

c) YO = OZ (………………..)

d) ΔXOY ≅ Δ XOZ (……………….)​

Answer 1

Answer:

Step-by-step explanation:

Let   XY = XZ = a       and       YZ = b

Ar(XYZ) = 1/4 * b* √(4a² - b²) = 1/4 * b² * √(4a²/b²  -  1)

Triangle  XYW is also isosceles.  with  XW = YW = b  and  base XY = a.

Ar(XYW) = 1/4 * a * √(4b² - a²)  = 1/4 * a b * √[4 - a²/b² ]

Take their ratio to get answer.

Answer 2

Step-by-step explanation:

1.sided of an isosceles triangle

2.common side

3.o is the mid point of the side yz means it divide the side into to equal parts

4. by sss property