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Given an isoceles triangle with equal si...

Given an isoceles triangle with equal side of length b and angle `alpha lt pi//4`, then
the inradius r is given by

A

`R=1/2b cosec alpha`

B

`Delta=2b^(2)sin 2 alpha`

C

`r=(b sin 2 alpha)/(2(1+cos alpha))`

D

`OI|(b cos ((3 alpha)/(2)))/(2 sin alpha((alpha)/(2)))|`

Text Solution

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The correct Answer is:
A, C, D
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ARIHANT MATHS ENGLISH-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise (More Than One Correct Option Type Questions)
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  2. If in DeltaABC, a = 5, b = 4 and cos (A - B) = 31/32, then

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  3. In which of the following situations, it is possible to have a DeltaAB...

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  4. In a triangle ABC, let BC = 1, AC=2 and measure of / C is 30^@. Which ...

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  5. Let one angle of a triangle be 60°, the area of triangle is 10sqrt3and...

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  6. In a triangle ABC, if a=4,b=8,/C=60^@, then which of the following rel...

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  7. Given an isoceles triangle with equal side of length b and angle alpha...

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  8. There can exist a triangle ABC satisfying the conditions :

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  9. Let a,b,c be the sides of triangle whose perimeter is P and area is A,...

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  10. If in DeltaABC, A =90^(@) and c, sin B and cos B are rational number, ...

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  11. Let 'l' is the length of median from the vertex A to the side BC of a ...

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  12. If A,A1,A2 and A3 are the areas of the inscribed and escribed circles ...

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  13. If a, b, A be given in a triangle and c1 and c2 be two possible value ...

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  14. D,E and F are the middle points of the sides of the triangle ABC, then

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  15. The sides of A B C satisfy the equation 2a^2+4b^2+c^2=4a b+2ac Then a...

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  16. If Delta represents the area of acute angled triangle ABC, then sqrt(a...

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  17. In triangle, A B Cif2a^2b^2+2b^2c^2=a^2+b^4+c^4, then angle B is equal...

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  18. If H is the orthocentre of triangle ABC, R = circumradius and P = AH +...

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  19. If inside a big circle exactly n(nlt=3) small circles, each of radius ...

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  20. If in triangle ABC, a, c and angle A are given and c sin A lt a lt c, ...

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