Respuesta :

VirαtKσhli

Answer:

No

Step-by-step explanation:

Given :-

  • A triangle with some side measure .
  • The sides are 4 ,6,7.

And we need to tell whether it is a right angled triangle or not . It will be a right angled triangle if it follows the Pythagoras Theorem.

Pythagoras Theorem :-

  • In right angle triangle the sum of squares of the two smallest sides is equal to the square of the largest side .

Here the two smallest sides are 4 & 6 .

Sum of Squares of 4 and 6 :-

[tex]:\implies[/tex] 4² + 6²

[tex]:\implies[/tex] 24 + 36

[tex]:\implies[/tex] 60

Square of 7 :-

[tex]:\implies[/tex] 7²

[tex]:\implies[/tex] 49

And :-

  • They aren't equal. So the triangle is not a right angled triangle .

Hence the triangle is not a right angle triangle.

Answer:

No, this triangle is not a right triangle.

Step-by-step explanation:

Step 1: Definition(s)/explanations

  • This is a right triangle, so the Pythagorean Theorem applies.
  • The Pythagorean Theorem states that the legs of the triangle, squared, must equal the hypotenuse, squared.
  • The legs of the triangle are the sides that make the right angle.
  • The hypotenuse is the longest side.

Formula:

[tex]pt-a^2+b^2=c^2[/tex]

[tex]legs=a,b[/tex]

[tex]hypotenuse=c[/tex]

Step 2: Solve.

Now, I just plug the numbers into the formula.

[tex]a^2+b^2=c^2[/tex]

[tex]4^2+6^2=7^2[/tex]

[tex]16+36\neq 49[/tex]

If the legs of the triangle do not equal the hypotenuse, then the triangle cannot be a right triangle.

Step 3: Conclude.

Therefore, the triangle cannot be a right triangle.