Question

Keelie has a triangular-shaped card. The lengths of its sides are 5.1 cm, 6.8 cm, and 8.5 cm. Is the card a right triangle?

Answer 1

Answer:

Yes

Step-by-step explanation:

To figure out if a triangle is a right triangle, you have to plug in the side lengths into the equation $a^{2}$ + $b^{2}$ = $c^{2}$

Your equation should look like $5.1^{2} + 6.8^{2} = 8.5^{2}$

Now you simplify. The equation should be: 26.01 + 46.24 = 72.25

Then add 26.01 and 46.24 to get 72.25 = 72.25

Since they are equal, the triangle is a right triangle.

Answer 2

Answer: Yes it is a right angled triangle

Step-by-step explanation: The triangle has three sides given already which are, 8.5 cm, 6.8 cm and 5.1 cm.

In order for the triangle to qualify as a right angled triangle, the longest side must be an hypotenuse. The square of an hypotenuse must be equal to the square of the other two sides added together. This is the Pythagoras theorem, which states that

AC² = AB² + BC²

Where AC is the hypotenuse (longest side)

The longest side in this question is 8.5 cm, therefore, applying the Pythagoras theorem we now have the following expression;

8.5² = 6.8² + 5.1²

72.25 = 46.24 + 26.01

72.25 = 72.25

So, having all three sides fitted into the Pythagoras theorem, we can now conclude that the card is a right angled triangle