Question

Answer the question in the pic

Answer 1

no

Explanation:

using Pythagoreans theorem

a^2+b^2=c^2

3^2+5^2≈6^2

9+15=34

not 36 so no

Answer 2

Answer :

Here, It is stated that the triangle having sides 3, 5 and 6 respectively. So, we have to prove that whether the given triangle is right angled triangle or not.

For That :

We will be using the Pythagoras Theorem

Given Sides :-

• Side - A → 3

• Side - B → 5

• Side - C → 6

According to the Pythagoras Theorem , the sum of the square of Base side and perpendicular side is equal to the square of the longest side i.e, hypotenuse.

Pythagoras Theorem :

⠀⠀⠀⠀⠀⠀
`{\bullet \: {\boxed{\sf {AC^(2) = AB^(2) + BC^(2)}}}} \\ \\`

So, here the longest side is Side A of measurement 6.

So, Now

Applying Pythagoras Theorem in it, we get :

The three sides , so let's plug the values in the formula :-

`\dashrightarrow\:\:\sf AC^(2) = AB^(2) + BC^(2)\\ \\`

`\dashrightarrow\:\:\sf 6^(2) = 3^(2) + 5^(2)\\ \\`

`\dashrightarrow\:\:\sf 36 = 9 + 5^(2)\\ \\`

`\dashrightarrow\:\:\sf 36 = 9 + 25 \\ \\`

`\dashrightarrow\:\:\sf 36 \\eq 34 \\ \\`

`{\underline{\sf {L.H.S \\eq R.H.S}}} \\`

If in a triangle, the square of the hypotenuse is not equal to the sum of the squares of the other two sides, then the given triangle and doesn't satisfy pythagoras theorem. Hence, Its not a right angled triangle.