Table of Contents
- 1 When should you use the Pythagorean theorem?
- 2 Can the Pythagorean theorem be used to solve for the missing side length?
- 3 What theorem can be used to find a missing length in a right triangle?
- 4 What are two ways to locate the hypotenuse of a right triangle?
- 5 How to find the hypotenuse of a right triangle?
- 6 Which is the hypotenuse in the Pythagorean theorem?
When should you use the Pythagorean theorem?
You use the Pythagorean Theorem when you know the lengths of two sides of a right triangle and you want to figure out the length of the third side. Here, a and b are the lengths of the legs and c is the length of the hypotenuse.
Can the Pythagorean theorem be used to solve for the missing side length?
The Pythagorean theorem states that a2 + b2 = c2 in a right triangle where c is the longest side. You can use this equation to figure out the length of one side if you have the lengths of the other two. Use the Pythagorean theorem to solve for the missing length.
How do you find the hypotenuse without the Pythagorean theorem?
- If you are given the length of the shortest leg (opposite the 30-degree angle,) simply multiply the leg length by 2 to find the length of the hypotenuse.
- If you are given the length of the longer leg (opposite the 60-degree angle,) multiply that length by 2/Sqrt(3) to find the length of the hypotenuse.
What theorem can be used to find a missing length in a right triangle?
The Pythagorean Theorem
Right triangle: The Pythagorean Theorem can be used to find the value of a missing side length in a right triangle. If the lengths of all three sides of a right triangle are whole numbers, the triangle is said to be a Pythagorean triangle and its side lengths are collectively known as a Pythagorean triple.
What are two ways to locate the hypotenuse of a right triangle?
The Pythagorean Theorem tells us that the sum of the squares of the sides of a right triangle is equal to the square of the hypotenuse. In formula form, it is a^2 + b^2 = c^2, where a and b are the two sides of the right triangle and c is the hypotenuse.
How is the Pythagorean theorem related to a right triangle?
The Pythagorean theorem shows how the lengths of the sides of a right triangle are related to one another. It says that the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.
How to find the hypotenuse of a right triangle?
Find the hypotenuse c for a right triangle with the length of short leg a = 6 and the length of the long leg b = 8: Find the short leg a for a right triangle with the length of long leg b = 24 and the length of the hypotenuse c = 25:
Which is the hypotenuse in the Pythagorean theorem?
For the purposes of the formula, side c ¯ is always the hypotenuse. Remember that this formula only applies to right triangles . When you use the Pythagorean theorem, just remember that the hypotenuse is always ‘C’ in the formula above.
How to find the length of a triangle using the Pythagorean equation?
You might recognize this theorem in the form of the Pythagorean equation: If you know the length of any 2 sides of a right triangle you can use the Pythagorean equation formula to find the length of the third side. This calculator solves the Pythagorean Theorem equation for sides a or b, or the hypotenuse c.