Home
Class 12
MATHS
If A=30^0, a=7,a n db=8 in A B C , then...

If `A=30^0, a=7,a n db=8` in ` A B C ,` then find the number of triangles that can be constructed.

Text Solution

Verified by Experts

We have `(a)/(sin A) = (b)/(sin B)`
or `sinB = (b sin A)/(a) = (8 sin 30^(@))/(7) = (4)/(7)`
Thus, we have, `b gt a gt b sin A`
Hence, angle B has two value given by `sin B = 4//7`
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE|Exercise Exercise 5.1|12 Videos

  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE|Exercise Exercise 5.2|8 Videos

  • PROGRESSION AND SERIES

    CENGAGE|Exercise ARCHIVES (MATRIX MATCH TYPE )|1 Videos

  • PROPERTIES OF TRIANGLE, HEIGHT AND DISTANCE

    CENGAGE|Exercise Question Bank|15 Videos

Similar Questions

Explore conceptually related problems

If b=3,c=4,a n dB=pi/3, then find the number of triangles that can be constructed.

If an a triangle A B C , b=3ca n d C-B=90^0, then find the value of tanB

In a triangle ABC, (a)/(b) = (2)/(3) and sec^(2) A = (8)/(5) . Find the number of triangle satisfying these conditions

In triangle A B C ,/_A=60^0,/_B=40^0,a n d/_C=80^0dot If P is the center of the circumcircle of triangle A B C with radius unity, then the radius of the circumcircle of triangle B P C is (a)1 (b) sqrt(3) (c) 2 (d) sqrt(3) 2

If a ,b ,c in R , then find the number of real roots of the equation Delta =|[x, c,-b],[-c, x, a], [b,-a,x]|=0

In A B C ,C=60^0a n dB=45^0dot Line joining vertex A of triangle and its circumcenter (O) meets the side B CinD Find the ratio B D : D C Find the ratio A O : O D

The line x+y=p meets the x- and y-axes at Aa n dB , respectively. A triangle A P Q is inscribed in triangle O A B ,O being the origin, with right angle at QdotP and Q lie, respectively, on O Ba n dA B . If the area of triangle A P Q is 3/8t h of the are of triangle O A B , the (A Q)/(B Q) is equal to (a) 2 (b) 2/3 (c) 1/3 (d) 3

If A=[(0, 4, 9), (8, 3, 7)], B=[(7, 3, 8), (1, 4, 9)] find the value of B-5A

Two variable chords A Ba n dB C of a circle x^2+y^2=r^2 are such that A B=B C=r . Find the locus of the point of intersection of tangents at Aa n dCdot