Question
ABCD is a cyclic quadrilateral in which AB =16.5 cm. BC
= x cm. CD= 11 cm. AD 19.8 cm, and BD is bisected by AC at O. What is the value of x?Solution
From the following figure, => ∠ACD = ∠ABD (angle made by a chord in same segment are equal) => ∠BDC = ∠BAC (angle made by a chord in same segment are equal) So, Δ AOB ~ Δ DOC by AA => OB/OC = 16.5/11 => OB = OD (given) => OD/OC = 16.5/11 ------ (i) As we know, => Δ ADO ~ Δ BCO => OD/OC = AD/BC => OD/OC = 19.8/x ------ (ii) Solving equation (i) and (ii) we get, => 19.8/x = 16.5/11 => x = (11 × 19.8)/16.5 => x = 13.2 cm
[34.01 × 18.98 – 12 × √576.03 – 198] ÷ 3.95 = ?
What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)...
63.981 + 64.001 + 65.08019 + 63.11112 =?
What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)...
What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)...
3.01√726 + 19.956% of 881.0954 + 25.08% of 2200.96 = ?
What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)...
- What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)
? = 25.08 + 14.99 × 25.07
(5.08/3.01) of 41.99 - 24.99% of 120.09 = ? - 9.99
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