Triangle which side is the base

If you know the length of the hypotenuse and the other side length as well, you can apply the Pythagorean Theorem in reverse :. If you don't know the area but you know the length of the side of the triangle, you can safely use the area formula. The right angle means the height an imaginary perpendicular line from the base and the side of the triangle are one and the same.

Consider the following triangle abc:. If you know the side length and height of a triangle that is isosceles, you can find the base of the triangle using this formula:. All three sides of a triangle that is equilateral are the same length. Pythagoras migrated to Italy in about BCE because of the political climate in his own country. Besides being credited with this theorem, Pythagoras — or one of the members of his brotherhood — also determined the significance of numbers in music.

None of his writings have survived, which is why scholars don't know if it was Pythagoras himself who discovered the theorem or one of the many students or disciples who were members of the Pythagorean brotherhood, a religious or mystical group whose principles influenced the work of Plato and Aristotle.

Jon Zamboni began writing professionally in He has previously written for The Spiritual Herald, an urban health care and religious issues newspaper based in New York City, and online music magazine eBurban. Zamboni has a Bachelor of Arts in religious studies from Wesleyan University. For a triangle with a hypotenuse of 5 inches and a height of 3 inches, find the base squared:. In a , the shorter leg is half as long as the hypotenuse, and the longer leg is times the length of the shorter.

Since the hypotenuse is 8, the shorter leg is 4, and the longer leg is , making the area:. If you've found an issue with this question, please let us know. With the help of the community we can continue to improve our educational resources. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

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Hanley Rd, Suite St. Louis, MO Subject optional. Email address: Your name:. Possible Answers: 6 square centimeters. Correct answer: 6 square centimeters. Explanation : The area of a triangle is given by the equation: Since the base leg of the given triangle is 4 cm, while the height is 3 cm, this gives:.

Report an Error. Possible Answers: 11 square centimeters. Correct answer: 12 square centimeters. For each side of a triangle, there is one vertex that is not on that side. This is the opposite vertex. Andre drew a line connecting two opposite corners of a parallelogram. Select all true statements about the triangles created by the line Andre drew. Lesson Let's write and use a formula to find the area of a triangle.

Examples: These dashed segments represent heights of the triangle. Any side of a triangle can be a base. There is only one possible height. A height is always one of the sides of a triangle. A height that corresponds to a base must be drawn at an acute angle to the base. A height that corresponds to a base must be drawn at a right angle to the base.

Once we choose a base, there is only one segment that represents the corresponding height. A segment representing a height must go through a vertex. Find the area of the triangle and record it in the last column of the table.