Question

Which of the following lengths of three sides can be lengths of a triangle? ii) 6cm, 8cm and 10cm​

Answer 1

Answer:

6,8,10

Step-by-step explanation:

6,8,10 can be be the lengths of the triangle.

We can verify this by either drawing or it, or using pythagoras

As 6^2+8^2=10^2

6,8,10 is a pythagorean triplet

So it will be a right angled triangle with base and height 6 and 8 and the hypotenuse 10

Hope you understood!

Answer 2

Using Apollonius theorem, we can find the length of the median AD, when length of all the sides are given.

Given, a=10,b=8,c=6,Here, a=10 is the greatest side

Apollonius theorem, b2+c2=2×((a2)2+m2), where m is the length of the median

⇒62+82=2(1024+m2)

2m2=62+82−50

m=5