Add all the sides. Write the expression, in the simplest form. 8cm, 8cm, 9x, 9x
1 answer:
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Answer:
Kindly refer to explanation.
Step-by-step explanation:
Given that:
A,B and C are 3 points on circumference of circle with centre O.
AOB is diameter.
Kindly refer to the attached image.
To prove:
Solution:
Let and
.
<em>Construction</em>: Join point A with centre O.
Considering :
Side AO = OC because both are the radius.
Angles opposite to equal sides in a triangle are equal.
Therefore,
Considering :
Side BO = OC because both are the radius.
Angles opposite to equal sides in a triangle are equal.
Therefore,
...... (1)
Now, in
Using angle sum property of triangle:
By equation (1):
Hence proved.
