Home
Class 12
MATHS
What is the minimum area of a triangle w...

What is the minimum area of a triangle with integral vertices ?

Text Solution

Verified by Experts

The correct Answer is:
`1//2 sq.units

Clearly, for minimum area of triangle height and base must be minimum.

`therefore` Minimum area of triangle `=(1)/(2)xx1xx(1)/(2)` sq.units
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • COORDINATE SYSYEM

    CENGAGE|Exercise Exercise 1.2|8 Videos
  • COORDINATE SYSYEM

    CENGAGE|Exercise Exercise 1.3|10 Videos
  • COORDINATE SYSYEM

    CENGAGE|Exercise JEE Main Previous Year|6 Videos
  • COORDINATE SYSTEM

    CENGAGE|Exercise Multiple Correct Answers Type|2 Videos
  • CROSS PRODUCTS

    CENGAGE|Exercise DPP 2.2|13 Videos

Similar Questions

Explore conceptually related problems

Using vectors, find the area of the triangle with vertices A (1, 1, 2), B (2, 3, 5) and C (1, 5, 5).

If the area of the triangle formed by the points (2a ,b)(a+b ,2b+a), and (2b ,2a) is 2qdotu n i t s , then the area of the triangle whose vertices are (a+b ,a-b),(3b-a ,b+3a), and (3a-b ,3b-a) will be_____

Find the area of the triangle with vertices are(3,5)(2,4)(5,1).

Find the absolute value of parameter t for which the area of the triangle whose vertices the A(-1,1,2); B(1,2,3)a n dC(t,1,1) is minimum.

Find the area of a triangle having vertices A(3,2),B(11 ,8), and C(8,12)dot

Prove that the area of the triangle whose vertices are (t ,t-2),(t+2,t+2), and (t+3,t) is independent of tdot

In the figure, find area of triangle AGF

In the figure, find area of triangle FED

If all the vertices of a triangle have integral coordinates, then the triangle may be (a) right-angled (b) equilateral (c) isosceles (d) none of these

Find the area of the triangle with vertices A(1,1,2)B(2,3,5) and C(1,5,5).