Question

Is the triangle a right triangle? 4 6 7 Is this a right triangle?

Answer 1

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 :-

$:\implies$ 4² + 6²

$:\implies$ 24 + 36

$:\implies$ 60

Square of 7 :-

$:\implies$ 7²

$:\implies$ 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 2

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:

$pt-a^2+b^2=c^2$

$legs=a,b$

$hypotenuse=c$

Step 2: Solve.

Now, I just plug the numbers into the formula.

$a^2+b^2=c^2$

$4^2+6^2=7^2$

$16+36\neq 49$

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.