Question

Prove that O is equidistant from A,B, and D.

Verified answers pls and no spamming no unwanted ​

Answer 1

Answer:

$given$

A right angled triangleABC

O is the midpoint of AC

$to \: prove$

O IS THE EQUIDISTANT from A,B and c

OA=OB=OC

CONSTRUCTION[:]

Draw a line from A parallel to BC and

Draw a line from C parallel to BA

let them meet at point D

JOIN OD

$proof$

In ABCD,

AB//DC and BC//AD

øpposite sides r parallel

ABCD is a parallelogram

$we \: know \: that$

ADJACENT ANGLES OF a PARALLELOGRAM R Supplementary

✓B+✓C=180°

90°+✓C=180°

✓C=180°-90°

✓C=90°

ùr ãñswer

Answer 2

Answer:

given

A right angled triangleABC

O is the midpoint of AC

to \: provetoprove

O IS THE EQUIDISTANT from A,B and c

OA=OB=OC

CONSTRUCTION[:]

Draw a line from A parallel to BC and

Draw a line from C parallel to BA

let them meet at point D

JOIN OD

proofproof

In ABCD,

AB//DC and BC//AD

øpposite sides r parallel

ABCD is a parallelogram

we \: know \: thatweknowthat

ADJACENT ANGLES OF a PARALLELOGRAM R Supplementary

✓B+✓C=180°

90°+✓C=180°

✓C=180°-90°

✓C=90°

ùr ãñswer

hope it will help you