micheal drew a triangle with the sides measuring 12.5cm,30cm,32.5cm. using the pythagoream theorm determine of micheals triangle is a right triangle. explain. PLEASE HELP ME WITH THIS ONE!!
a^2 + b^2 = c^2
Is this correct?
12.5^2 + 30^2 = 32.5^2
so how to do i find out if its a right triangle?
Do the math. (a^2 means a squared)
If that equation is correct, the triangle is a right triangle. If it's wrong, it is not a right triangle.
The Pythagorean Theorem only works for right triangles.
To determine if Michael's triangle is a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.
Let's label the sides of Michael's triangle as:
a = 12.5 cm
b = 30 cm
c = 32.5 cm
Now, we need to check if the Pythagorean theorem holds true for these side lengths:
c^2 = a^2 + b^2
Plugging in the values, we have:
(32.5 cm)^2 = (12.5 cm)^2 + (30 cm)^2
Simplifying the equation:
1056.25 cm^2 = 156.25 cm^2 + 900 cm^2
Combining like terms:
1056.25 cm^2 = 1056.25 cm^2
Since the equation is balanced, this means that the Pythagorean theorem holds true for Michael's triangle. Therefore, Michael's triangle is a right triangle.