Home
Class 11
MATHS
The longest side of a triangle is 3 time...

The longest side of a triangle is 3 times the shortest side and the third side is 2 cm shorter than the longest side. If the perimeter of the triangle is at least 61 cm, find the minimum length of the shortest side.

Promotional Banner

Topper's Solved these Questions

  • LINEAR INEQUALITIES

    NCERT GUJARATI|Exercise EXERCISE 6.2 Solve the following inequalities graphically in two-dimensional plane:|10 Videos

  • LINEAR INEQUALITIES

    NCERT GUJARATI|Exercise EXERCISE 6.3 Solve the following system of inequalities graphically:|15 Videos

  • LINEAR INEQUALITIES

    NCERT GUJARATI|Exercise EXERCISE 6.1 Solve the inequalities in Exercises 5 to 16 for real x.|11 Videos

  • LIMITS AND DERIVATIVES

    NCERT GUJARATI|Exercise Miscellaneous Exercise on Chapter 13|33 Videos

  • MATHEMATICAL REASONING

    NCERT GUJARATI|Exercise Miscellaneous Exercise on Chapter 14|16 Videos

Similar Questions

Explore conceptually related problems

The hypotenuse of a right triangle is 6m more than twice of the shortest side. If the third side is 2 m., less than the hypotenuse, find the sides of the triangle

The altitude of a right triangle is 7 cm less than its base. If the hypotenuse is 13 cm , find the other two sides.

The diagonal of a rectangular field is 60 metres more than the shorter side. If the longer side is 30 metres more than the shorter side, find the sides of the field.

The altitude of a right triangle is 7 cm less than its base. If the hypotenuse is 13 cm, find the other two sides.

The ratio of the measures of the sides of a triangle is 3 : 4 : 5. If the semiperimeter of the triangle is 36 cm, the measure of the longest side of the triangle is …………..cm.

Each side of an equilateral triangle measures 8 cm. Then, the semiperimeter of the triangle is ……………… cm.

Two sides of a triangle measure 9 cm and 10 cm. If the perimeter of the triangle is 36 cm, then its area is ………….. cm^(2)

The side of an equilateral triangle expands at the rate of sqrt(3) cm/sec. When the side is 12 cm, the rate of increase of its area is ……….

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

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.