By OnlineEdumath   |  27th May, 2025
a² = 3²+4² a = √(25) a = 5 units. a is the hypotenuse of the ascribed right-angled triangle. tanb = 3/4 b = atan(3/4)° tanc = 4/3 c = atan(4/3)° Let d be the radius of the inscribed c...
By OnlineEdumath   |  27th May, 2025
Let BH be a. It implies; 25 ~ a a ~ 4 Cross Multiply. a² = 100 a = 10 units. b² = 25²+10² b = √(725) units. b is AB, the side length of the ascribed square. c² = 10²+4² c = √...
By OnlineEdumath   |  26th May, 2025
Notice. The angle formed at the meet point (vertex) of length 4 units and x units is equal the angle formed at the meet point (vertex) 9 units and x units. Therefore, as a result, two similar...
By OnlineEdumath   |  26th May, 2025
Sir Mike Ambrose is the author of the question. Let the square side be 1 unit. Therefore; Area B is; Area triangle with height 1 unit and base sin(53.13010235416) units - Area triangle wi...
By OnlineEdumath   |  26th May, 2025
Calculating Area Blue. (2/sin120) = (1/sina) a = 25.6589062733° b = 180-120-a b = 60-25.6589062733 b = 34.3410937267° Therefore, shaded blue area is; Area sector with radius 2 units...
By OnlineEdumath   |  26th May, 2025
a = ½(4+6) a = 5 units. a is radius. 10² = x²+b² b = √(100-x²) units. c = 10-½(4) c = 8 units. x² = c²+d² x² = 8²+d² d = √(x²-64) units. Calculating x. Therefore; 8 ~ √(x²-6...
By OnlineEdumath   |  26th May, 2025
Notice. r, radius of the ascribed quarter circle is (25/√(2)) units. r = ½(25√(2)) units. (AD)² = 2(½(25√(2)))² (AD)² = 2*¼*625*2 AD = √(625) AD = 25 units. It implies; AB+BC+CD = AD 10+BC+4 =...
By OnlineEdumath   |  26th May, 2025
Calculating Area Blue. a = 4+8 a = 12 cm. a is the radius of the ascribed quarter circle. b² = 12²+4² b = √(144+16) b = √(160) b = 4√(10) units. tanc = 12/4 c = atan(3)° (12/sin(60+atan(3))) =...
By OnlineEdumath   |  24th May, 2025
Let FC=x. Let CE=y Therefore; 5+x=y+4 x=y-1 ------- (1). Notice; Triangle AEF is similar to triangleEFC. It implies; 5+x=y     4=x, cross multiply. x²+5x=4y ----- (2). Subs...
By OnlineEdumath   |  24th May, 2025
a = (r+9) units. b = (r-9) units. a² = b²+c² (r+9)² = (r-9)²+c² c² = r²+18r+81-r²+18r-81 c² = 36r c = 6√(r) units. d = (r+4) units. e = (r-4) units. f²+e² = d² f² =...
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