Question

Determine whether the triangle, the lengths of whose sides are 2.1 cm, 2.8 cm and 3.5 cm is a right-angled triangle.​

Answer 1

Answer:

answer is 20.58

Step-by-step explanation:

i hope it helps you

Answer 2

Given:-

Sides of a triangle are: 2.1 cm, 2.8 cm and 3.5 cm

To find:-

Determining whether the triangle with sides 2.1 cm, 2.8 cm and 3.5 cm will form a right-angled triangle.

Knowledge required:-

Converse of Pythagoras theorem

This theorem states that, If the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right-angled triangle.

For a triangle with lengths of sides., AB, BC and AC where AB is the longest side. If

AB² = AC² + BC²

Then By the converse of Pythagoras theorem

Triangle ABC would be a right-angled triangle., right-angled at C.

Solution:-

Given three lengths are:

2.1 cm, 2.8 cm and 3.5 cm

Here, the longest side is AB = 3.5 cm

and the other two sides are BC = 2.1 cm and AC = 2.8 cm

So,

→ AB² = ( 3.5 cm )² = 12.25 cm²

and

→ BC² + AC² = ( 2.1 cm )² + ( 2.8 cm )²

→ BC² + AC² = 4.41 cm² + 7.84 cm²

→ BC² + AC² = 12.25 cm²

Now we can clearly see that,

AB² = BC² + AC²

Hence.,

Using the Converse of Pythagoras theorem we can conclude that,

Triangle formed with the sides 2.1 cm, 2.8 cm and 3.5 cm is a Right-angled triangle.