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GeometryQuestion and Answers: Page 66

Question Number 126080    Answers: 1   Comments: 3

Question Number 126052    Answers: 0   Comments: 0

on any trapezoid ABCD points E and F are located on CD so that AD is parallel to BE and AF is parallel to BC.Point H is the intersection of AF and BE point G is the intersection of AC and BE. If the length of AB is 4 cm and the length of CD is 10 cm what is the ratio of the area of triangle AGH to the area of trapezoid ABCD?

$$ \\ $$$$\mathrm{on}\:\mathrm{any}\:\mathrm{trapezoid}\:\mathrm{ABCD}\:\mathrm{points}\:\mathrm{E}\:\mathrm{and}\: \\ $$$$\mathrm{F}\:\mathrm{are}\:\mathrm{located}\:\mathrm{on}\:\mathrm{CD}\:\mathrm{so}\:\mathrm{that}\:\mathrm{AD}\:\mathrm{is} \\ $$$$\mathrm{paral}{l}\mathrm{el}\:\mathrm{to}\:\mathrm{BE}\:\mathrm{and}\:\mathrm{AF}\:\mathrm{is}\:\mathrm{parallel}\:\mathrm{to}\: \\ $$$$\mathrm{BC}.\mathrm{Point}\:\mathrm{H}\:\mathrm{is}\:\mathrm{the}\:\mathrm{intersection}\:\mathrm{of}\:\mathrm{AF}\: \\ $$$$\mathrm{an}{d}\:\mathrm{BE}\:\mathrm{point}\:\mathrm{G}\:\mathrm{is}\:\mathrm{the}\:\mathrm{intersection}\:\mathrm{of}\: \\ $$$$\mathrm{AC}\:\mathrm{and}\:\mathrm{BE}.\:\mathrm{If}\:\mathrm{the}\:\mathrm{length}\:\mathrm{of}\:\mathrm{AB}\:\mathrm{is}\:\mathrm{4}\:\mathrm{cm} \\ $$$${an}\mathrm{d}\:\mathrm{the}\:\mathrm{length}\:\mathrm{of}\:\mathrm{CD}\:\mathrm{is}\:\mathrm{10}\:\mathrm{cm}\:\mathrm{what}\:\mathrm{is} \\ $$$$\mathrm{th}{e}\:\mathrm{ratio}\:\mathrm{of}\:\mathrm{the}\:\mathrm{area}\:\mathrm{of}\:\mathrm{triangle}\:\mathrm{AGH}\:\mathrm{to} \\ $$$$\mathrm{t}{h}\mathrm{e}\:\mathrm{area}\:\mathrm{of}\:\mathrm{trapezoid}\:\mathrm{ABCD}? \\ $$

Question Number 126049    Answers: 0   Comments: 0

if in triangle ABC, AD is a bisector of angle A then BD : DC = AB : AC investigate, is the statement true ore false?

$$ \\ $$$$\mathrm{if}\:\mathrm{in}\:\mathrm{triangle}\:\mathrm{AB}{C},\:\mathrm{AD}\:\mathrm{is}\:\mathrm{a}\:\mathrm{bisector}\:\mathrm{of} \\ $$$$\mathrm{an}{g}\mathrm{le}\:\mathrm{A}\:\mathrm{then}\:\mathrm{BD}\::\:\mathrm{DC}\:=\:\:\:\mathrm{AB}\::\:\mathrm{AC}\: \\ $$$$\mathrm{investigate},\:\mathrm{is}\:\mathrm{the}\:\mathrm{statement}\:\mathrm{true}\:\mathrm{ore} \\ $$$$\mathrm{fals}{e}? \\ $$

Question Number 125907    Answers: 2   Comments: 1

Question Number 125800    Answers: 3   Comments: 5

Question Number 125508    Answers: 3   Comments: 1

Question Number 125456    Answers: 0   Comments: 1

Question Number 125384    Answers: 1   Comments: 1

Question Number 125090    Answers: 0   Comments: 8

Question Number 125070    Answers: 0   Comments: 3

Question Number 125016    Answers: 0   Comments: 0

6+5=11

$$\mathrm{6}+\mathrm{5}=\mathrm{11} \\ $$

Question Number 124953    Answers: 1   Comments: 0

Question Number 124928    Answers: 1   Comments: 0

What are the exact values of k for which the line y=kx+3 is tangent to the circle with centre (6,3) and radius 2?

$$\:{What}\:{are}\:{the}\:{exact}\:{values}\:{of}\:{k} \\ $$$${for}\:{which}\:{the}\:{line}\:{y}={kx}+\mathrm{3} \\ $$$${is}\:{tangent}\:{to}\:{the}\:{circle}\:{with} \\ $$$${centre}\:\left(\mathrm{6},\mathrm{3}\right)\:{and}\:{radius}\:\mathrm{2}? \\ $$

Question Number 124869    Answers: 0   Comments: 0

Question Number 124722    Answers: 1   Comments: 0

Question Number 124353    Answers: 1   Comments: 1

Question Number 124291    Answers: 1   Comments: 0

Question Number 124329    Answers: 1   Comments: 2

Question Number 124076    Answers: 0   Comments: 19

intregation...collected problem

$${intregation}...{collected}\:{problem} \\ $$

Question Number 124048    Answers: 1   Comments: 1

Question Number 124021    Answers: 0   Comments: 2

Question Number 123843    Answers: 1   Comments: 1

Question Number 123809    Answers: 0   Comments: 0

((log2)/1^2 )−((log3)/2^2 )+((log4)/3^2 )−((log5)/4^2 )+...

$$\frac{{log}\mathrm{2}}{\mathrm{1}^{\mathrm{2}} }−\frac{{log}\mathrm{3}}{\mathrm{2}^{\mathrm{2}} }+\frac{{log}\mathrm{4}}{\mathrm{3}^{\mathrm{2}} }−\frac{{log}\mathrm{5}}{\mathrm{4}^{\mathrm{2}} }+... \\ $$

Question Number 123806    Answers: 0   Comments: 5

Question Number 123717    Answers: 0   Comments: 0

Question Number 123708    Answers: 2   Comments: 1

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