Alright, lets get started.
Please refer the diagram, I have attached.
∠ABC is given as y.
So, the ∠EBC will be 180 - ∠ABC.
∠EBC = 180 - y
As given in question, BO is the bisector of ∠EBC, it means ∠OBC will be half of the ∠EBC.
∠OBC = of ∠EBC
∠OBC = (180 - y)
∠OBC =
Similarly,
the ∠DCB will be 180 - ∠ACB
∠DCB = 180 - z
As given in question, CO is the bisector of ∠DCB, it means ∠OCB will be half of the ∠DCB.
∠OCB = of ∠DCB
∠OCB = (180 - z)
∠OCB =
In triangle OBC, the sum of the angles of the triangle will be 180.
∠BOC + + = 180
∠BOC +
∠BOC = =
As per upper triangle ABC,
or
Putting this value in value of ∠BOC
∠BOC =
∠BOC =
∠BOC = 90 - : Hence proved
Hope it will help :)
Answer:yes
Step-by-step explanation:
Pythagorean theorem helps us find a sides measurements in a right triangle. the formula is a^2+b^2=c^2<span />
18). 16:80 is the ratio but in simplest form is; 5:0
19). 36:54 is the ratio but in simplest form is; 2:3
20). 12:24 is the ratio but in simplest form is; 1:2
hope that helps:D