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If in DeltaABC, a = 5, b = 4 and cos (...

If in `DeltaABC, a = 5, b = 4 and cos (A - B) = 31/32`, then

A

The perimeter of `DeltaABC` equals `15/2`

B

The radius of circle inscribed in `DeltaABC` equals `(sqrt7)/(2)`

C

The measure of `angle C` equals `cos ^(-1)""1/8`

D

The value of `R(b^(2)sin 2C+c ^(2)sin 2B)` equal 120

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B, C, D
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ARIHANT MATHS-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise (More Than One Correct Option Type Questions)
  1. In DeltaABC, the value of c cos (A-theta )+a cos (C+theta)=

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  2. In Delta ABC,If ac =3, bc=4 and (A-B) =3/4, then

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  3. If in DeltaABC, a = 5, b = 4 and cos (A - B) = 31/32, then

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

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  5. In a triangle ABC, let BC = 1, AC=2 and measure of angle C is 30°. Wh...

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  6. 6. Let one angle of a triangle be 60°, the area of triangle is 10/3 an...

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

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  8. Given an isosceles triangle with equal sides of length b, base angle a...

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

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

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

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  12. In Delta ABC, which of the followinhg statemnts are ture

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

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

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

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

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  17. The sides of A B C satisfy the equation 2a^2+4b^2+c^2=4a b+2a cdot Th...

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  18. If represents the area of acute angled triangle ABC, then sqrt(a^2b^2...

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  19. 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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  20. If H is the orthocentre of the triangle ABC, R = circumradius and P =A...

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