Question

the length of two sides of a triangle are 6cm 9cm between what two measures should the length of third side fall.​

Answer 1

By applying Pythagoras Theorem

(AB)2+(BC)2 = (CD)2

Answer 2

Answer :-

• The third side can be between 3 cm and 15 cm.

Given :-

• The length of two sides of a triangle are 6 cm and 9 cm.

To find :-

• The length of the third side.

Step-by-step explanation :-

• The question has given us the length of the two sides of a triangle. We have to find the measures between which the third side can fall.

• The two sides are 6 cm and 9 cm.

We know that :-

• The sum of two sides of a triangle is greater than it's third side.

• The difference of two sides of a triangle is smaller than it's third side.

Here,

• Sum of the the sides = 6 cm + 9 cm = 15 cm.

• Difference of the sides = 9 cm - 6 cm = 3 cm.

Conclusion :-

• Therefore, the third side of the triangle must be greater than 3 cm and smaller than 15 cm$.$

-----------------------------------------------------------

Know more :-

Some properties of a triangle :-

• An exterior angle of a triangle is equal to the sum of it's two interior opposite angles.

• The sum of angles of a triangle is 180°.

• In an isosceles triangle, the angles opposite equal sides are equal.

• In a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.