Home
Class 9
MATHS
Show that in a right angled triangle, th...

Show that in a right angled triangle, the hypotenuse is the longest side.

Text Solution

Verified by Experts

The correct Answer is:
AC
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • TRIANGLES

    KUMAR PRAKASHAN|Exercise EXERCISE 7.5|4 Videos
  • TRIANGLES

    KUMAR PRAKASHAN|Exercise SKILL TESTING EXERCISE|20 Videos
  • TRIANGLES

    KUMAR PRAKASHAN|Exercise EXERCISE 7.3|5 Videos
  • SURFACE AREAS AND VOLUMES

    KUMAR PRAKASHAN|Exercise MULTIPLE CHOICE QUESTIONS|18 Videos

Similar Questions

Explore conceptually related problems

Using vector method prove that in a right angled teriangle, the midpoint of the hypotenuse is equidistance from the vertices of the triangle.

In a right angles triangle, prove that r+2R=s.

Knowledge Check

  • In a right angled triangle, the length of the hypotenuse is 15 cm and one of the sides forming right angle is 9 cm. Then, the semiperimeter of the triangle is …………..cm.

    A
    36
    B
    18
    C
    12
    D
    15
  • Similar Questions

    Explore conceptually related problems

    Equilateral triangles are drawn on the three sides of a right angled triangle. Show that the area of the triangle on the hypotenuse is equal to the sum of the areas of triangles on the other two sides.

    In a right angle triangle, the sum of hypotenuous and one side is given, Prove that when the angle between them is (pi)/(3) , the area of the triangle is maximum.

    Find the equation of one of the sides of an isosceles right angled triangle whose hypotenuse is given by 3x + 4y =4 and the opposite vertex of the hypotenuse is (2,2) .

    Let A(h, k), B(1, 1) and C(2, 1) be the vertices of a right angled triangle with AC as its hypotenuse. If the area of the triangle is 1, then the set of values which k can take is given by (1) {1,""3} (2) {0,""2} (3) {-1,""3} (4) {-3,-2}

    Statement 1 : Let the vertices of a A B C be A(-5,-2),B(7,6), and C(5,-4) . Then the coordinates of the circumcenter are (1,2)dot Statement 2 : In a right-angled triangle, the midpoint of the hypotenuse is the circumcenter of the triangle.

    The hypotenuse of a right angled triangle has its ends at the points (1, 3) " and " (-4, 1) . Find an equation of the legs (perpendicular sides) of the triangle.

    The hypotenuse of a right angled triangle has its ends at the points (1,3) and (-4,1) . Find an equation of the legs (perpendicular sides) of the triangle.