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Area of triangle = S = (a+b+c)/2 = (2x+3x+4x)/2 = 9x/2 Area = √(s(s-a)(s-b)(s-c)) = √(9x/2 × s/2 x × 9/2 x × x/2) = (3√15)/4 x² Again area of triangle = 1/2 × 4x × (15√15)/4 Compare both areas 1/2 × 4x × (15√15)/4 = (3√15)/4 x² x = 10 cm ∴ Area of trapezium = 1/2 × (2x + 6x) × (15√15)/4 = 1/2 × 8 × 10 × (15√15)/4 = 150√15 cm²
431.98 + ? – 15.04 = 864.93 – 368.01
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.)...
44.98% of 399.98 = ? x 19.98 - (39.98% of 2499.98)
`root(3)(725.87)` `-:` `sqrt(81.033)` + 49.88% of 809.77 = ? - (14.78 `xx` 52.2)
672.35 ÷ 24.03 × 12.99 – 1288.28 ÷ 13.94 = ?
(√845 ×19.932+ √4230 ×14.385)/(√1765 ×4.877 ) = ?
54.8% of 800 - √(?) = 33.98% of 400 – 12.42% of 300
12.03 x 4.21 +19.95% of 300.05 = ?
Which of the given trigonometric identities is incorrect ?
1. tan2 θ = sec2 θ - 1B. cosec2 θ = 1 + cot