Question

Q1.Two diagonals of a rhombus ABCD are intersecting each other at point O. What is the value of ∠DOC?

Answer 1

Answer:

Given: ABCD is a rhombus. Diagonals meet at O.

Diagonals of a rhombus bisect each other at right angles.

Hence, in △OAB

OA2+OB2=AB2..(I)

In △OBC.

OB2+OC2=BC2..(II)

Adding I and II,

OA2+OC2=AB2+BC2−2OB2

OA2+OC2=2AD2−2(4BD2)  (Since, ABCD is a rhombus, sides are equal and diagonal bisect each other)

OA2+OC2=2AD2−2BD2

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

the answer is 90°

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