The sides of a triangle are three consec...

The sides of a triangle are three consecutive natural numbers and its largest angle is twice the smallest one. Determine the sides of the triangle.

Text Solution

AI Generated Solution

Topper's Solved these Questions

PERMUTATIONS AND COMBINATIONS
ALLEN|Exercise All Questions|1 Videos
Solutions of Triangle & Binomial Theorem
ALLEN|Exercise Do yourself -6|4 Videos

Similar Questions

Explore conceptually related problems

The sides of a triangle are three consecutive natural numbers and its largest angle is twice the smalles one. Determine the sides of the triangle.

The sides of a triangle are three consecutive numbers and its largest angle is twice the smallest one. Find the sides of the triangle.

If the sides of a triangle are in G.P., and its largest angle is twice the smallest, then the common ratio r satisfies the inequality 0

If the lengths of the sides of a triangle are in AP and the greatest angle is double the smallest, then a ratio of lengths of the sides of this triangle is

The sides of a triangle are in a ratio of 4:5:6. the smallest angle is

The perimeter of a triangle is 50 cm . One side of the triangle is 4 cm longer than the smaller side and the third side is 6 cm less than twice the smaller side. Find the area of the triangle.

One angle of a triangle is thrice the smallest angle and the other angle is five times the smallest angle. Find the three angles.

Of the three angles of a triangle, one is twice the smallest and another is three times the smallest. Find the angles.

ALLEN-SOLUTION AND PROPERTIES OF TRIANGLE-All Questions

Angles of a triangle are in 4:1:1 ration. The ratio between its greate...
Text Solution
|
In triangle A B C , if b=3,\ c=4\ a n d\ /B=pi/3, then number of such ...
Text Solution
|
The sides of a triangle are three consecutive natural numbers and its ...
Text Solution
|
In a triangle A B C , if B=30^0a n d\ c=sqrt(3)\ b , then A can be equ...
Text Solution
|
In a triangle A B C ,\ (a^2-b^2-c^2)tanA+(a^2-b^2+c^2)tanB is equal to...
Text Solution
|
If an a triangle A B C ,(2cosA)/a+(cosB)/b+(2cosC)/c=a/(b c)+b/(a c), ...
Text Solution
|
A cyclic quadrilateral ABCD of area (3sqrt(3))/4 is inscribed ina unit...
Text Solution
|
In triangleABC if 2c cos^2(A/2)+2acos^2(C/2)-3b=0 prove that a, b, c a...
Text Solution
|
In a DeltaABC, the tangent of hald the difference of two angle is one-...
Text Solution
|
In a triangle ABC, if 2 a cos ( B − C 2 ) = b + c , then secA is equa...
Text Solution
|
If A is the area and 2s is the sum of the sides of a triangle, then Al...
Text Solution
|
The base of a triangle is divided into three equal parts. If t1, t2,t3...
Text Solution
|
In a triangle A B C , if a : b : c=4:5:6 , then ratio between its circ...
Text Solution
|
If A ,\ B ,\ C are the angles of a triangle, prove that : cos A+cos B+...
Text Solution
|
If in a triangle r1=r2+r3+r , prove that the triangle is right angled.
Text Solution
|
Prove that the distance between the circumcenter and the orthocentre o...
Text Solution
|
In the ambiguous case of the solution of triangle, prove that the c...
Text Solution
|
If a, b and A are given in a triangle and c(1), c(2) are possible valu...
Text Solution
|
If b , c , B are given and b &lt c,prove that cos((A1-A2)/2)=(csinB)/b
Text Solution
|
If in a triangle ABC, cos A +cos B+cos C=3/2, prove that the triangle ...
Text Solution
|