Angles of a triangle are in 4:1:1 ration...

Angles of a triangle are in `4:1:1` ration. The ratio between its greatest side and perimeter is `3/(2+sqrt(3))` (b) `(sqrt(3))/(2+sqrt(3))` `(sqrt(3))/(2-sqrt(3))` (d) `1/(2+sqrt(3))`

Answer

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(2+sqrt(3))/(2-sqrt(3))+(2-sqrt(3))/(2+sqrt(3))+(sqrt(3)+1)/(sqrt(3)-1)is

(1)/(sqrt(2)+sqrt(3))-(sqrt(3)+1)/(2+sqrt(3))+(sqrt(2)+1)/(2+2sqrt(2))

Knowledge Check

The value of (2+sqrt(3))/(2-sqrt(3))+(2-sqrt(3))/(2+sqrt(3))+(sqrt(3)+1)/(sqrt(3-1)) is

A

a) `16+sqrt(3)`

B

b) `4-sqrt(3)`

C

c) `2-sqrt(3)`

D

d) `2+sqrt(3)`

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(sqrt(2)(2+sqrt(3)))/(sqrt(3)(sqrt(3)+1))-(sqrt(2)(2-sqrt(3)))/(sqrt(3)(sqrt(3)-1))

If the angles of a triangle are in the ratio 4:1:1 then the ratio of the longest side to the perimeter is- sqrt(3):(2+sqrt(3)) b.1:sqrt(3)c1:2+sqrt(3)d.2:3

If the angles of a triangle are in the ratio 4:1:1, then the ratio of the longest side to the perimeter is sqrt(3):(2+sqrt(3))( b) 1:61:2+sqrt(3)(d)2:3

sqrt((4)/(3))-sqrt((3)/(4))=?(4sqrt(3))/(6) (b) (1)/(2sqrt(3))(c)1(d)-(1)/(2sqrt(3))

(1)/(sqrt(2)+sqrt(3))+(1)/(sqrt(3)+sqrt(4))

(1)/(1-sqrt(2)+sqrt(3))+(1)/(1-sqrt(2)-sqrt(3))-(2)/(1+sqrt(2)-sqrt(3))+(3)/(sqrt(2))

(1)/(sqrt(3)+sqrt(2))-(2)/(sqrt(5)-sqrt(3))-(3)/(sqrt(2)-sqrt(5))

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