Tell whether the triangle with the given side is a right triangle;1.4 m,4.8 m,5m.
Explain please.
Use the Pythagorean theorem to find out.
http://www.mathsisfun.com/pythagoras.html
14mm, 19 mm, 23mm
To determine whether the triangle with side lengths 1.4 m, 4.8 m, and 5 m is a right triangle, we need to check if it satisfies the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
Let's calculate the squares of the three side lengths:
- For the side 1.4 m: 1.4^2 = 1.96
- For the side 4.8 m: 4.8^2 = 23.04
- For the side 5 m: 5^2 = 25
Now, let's check if the sum of the squares of the two smaller sides equals the square of the largest side:
1.96 + 23.04 = 25
Since the sum of the squares of the two smaller sides is equal to the square of the largest side, the triangle with side lengths 1.4 m, 4.8 m, and 5 m satisfies the Pythagorean theorem. Therefore, it is a right triangle.
To determine if the triangle with sides 1.4 m, 4.8 m, and 5 m is a right triangle, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
Let's calculate the squares of the lengths of the sides:
1.4^2 = 1.96
4.8^2 = 23.04
5^2 = 25
Now, we need to check if the sum of the squares of the two shorter sides is equal to the square of the longest side. In this case, it means we need to check if 1.96 + 23.04 = 25.
Calculating the sum, we get:
1.96 + 23.04 = 25
Since the sum of the squares of the two shorter sides is equal to the square of the longest side, we can conclude that the triangle with sides 1.4 m, 4.8 m, and 5 m is indeed a right triangle.