- #1
stealthinstinct
- 9
- 0
[3.06] If two sides of a triangle are 8 and 22, what is the range of possibilities for the third side?
stealthinstinct said:[3.06] If two sides of a triangle are 8 and 22, what is the range of possibilities for the third side?
Check in your Geometry book for "Triangle Inequality Theorem". If a triangle has sides a, b, c; and if sides a and b are known, then this means a+b>c. Can you figure out the rest and apply the theorem?stealthinstinct said:[3.06] If two sides of a triangle are 8 and 22, what is the range of possibilities for the third side?
To find the third side of a triangle, you can use the Pythagorean theorem which 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 other two sides. Simply rearrange the equation to solve for the missing side.
The Pythagorean theorem is a mathematical principle that states 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. It is often written as a^2 + b^2 = c^2, where c is the length of the hypotenuse and a and b are the lengths of the other two sides.
A right triangle is a triangle in which one of the angles measures 90 degrees. This can be determined by using a protractor to measure the angles of the triangle. If one of the angles is exactly 90 degrees, then the triangle is a right triangle.
No, the Pythagorean theorem can only be used to find the third side of a right triangle. For other types of triangles, you will need to use other methods such as the law of cosines or the law of sines.
The formula for the Pythagorean theorem is a^2 + b^2 = c^2, where c is the length of the hypotenuse and a and b are the lengths of the other two sides. It can also be written as c = √(a^2 + b^2) to solve for the length of the hypotenuse.