Home
Class 12
MATHS
If A is the area and 2s the sum of three...

If A is the area and `2s` the sum of three sides of a triangle, then

A

`A le (s^(2))/(2)`

B

`A gt (s^(2))/(sqrt(3))`

C

`A le (s^(2))/(3sqrt(3))`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • SOLUTION OF TRIANGLES

    MODERN PUBLICATION|Exercise Level-II|50 Videos

  • SOLUTION OF TRIANGLES

    MODERN PUBLICATION|Exercise Latest questions from AIEE/JEE Examinations|5 Videos

  • SETS

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|6 Videos

  • STATISTICS

    MODERN PUBLICATION|Exercise QUESTION FROM KARNATAKA CET & COMED|3 Videos

Similar Questions

Explore conceptually related problems

Let PQR be a triangle of area Delta with a=2 , b=(7)/(2) and c=(5)/(2) , where a,b and c are the lengths of the sides of the triangle opposite to the angles at P,Q and R respectively. Then (2sinP-sin2P)/(2sinP+sin2P) equals

IF the coordinates of the midpoints of the sides of a triangle are (1, 2), (0, -1), and (2,-1), find vertices of triangle.

If the lengths of the sides of a triangle are decided by the three thrown of a single fair die,then the probability that the triangle is of maximum area given that it is an isosceles triangle, is

"If the square on the longest sides of a triangle is equal to the sum of the squares on the other two sides then those two sides contain a right angle." Prove.

The equilateral triangles are drawn on the sides of a right triangle. Show that the area of the triangle on the hypotenuse is equal to the sum of the areas of the triangles on the other two sides. OR In the given figure, PA, QB and RC are each perpendicular to AC. Prove that 1/x+1/z=1/y

Sides of a triangle are of length 2 cm, 3 cm and 4 cm respectively. Which of the sets of number are the sides of a triangle, similar to the above trianlge ?

If PQ and PR are the two sides of a triangle, then the angle between them which gives maximum area of the triangle is

The area of an equilateral triangle ABC is 17320.5 cm^2 . With each vertex of the trianlge as centre, a circle is drawn with radius equal to half the length of the side of the triangle. Find the area of the shaded region .

Find the area of the triangle formed by joining the mid-points of the sides of the triangle whose vertices are (0, -1), (2, 1) and (0, 3). Find the ratio of this area to the area of the given triangle.