Question

The length of two sides of a triangle are 4 cm and 6 cm. Between what two measures should the length of the third side fall​

Answer 1

Answer:

The length of the third side always depends on the sum and difference of the other two sides. Hence, the required length of the third side would lie between 10 cm and 2 cm.

Answer 2

Let the given triangle be ∆ABC.

AB=4cm,.....Given

BC=6cm,....Given

AC=?......To find out.

Solution:

By Pythagoras Theorem,

Hypotenuse^2=Base^2+Height^2

AC^2 = AB^2 + BC^2

AC^2 = 4^2 + 6^2

AC^2 = 16 + 36

AC^2 = 52

AC^2 = √52

AC=7.2.

Hence, AC=7.2.

The length of third side is 7.2 cm .

Explaination:

The square of the two sides of the triangle .i.e the base's square and height's square is equal to the hypotenuse.We have to add the squares of both sides and after adding the squares we have put the added answer in the under root.(√).And take out the square root of the Added square answer. The answer we get from the square root is the answer of the third side .i.e the hypotenuse.