Scelta multipla
In a regular pentagon, what is the sum of any two of its interior angles?
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0. Review of College Algebra
Pythagorean Theorem & Basics of Triangles
Scelta multipla
Which mathematical equation can be used to determine if a triangle with side lengths , , and (where is the longest side) is a right triangle?
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Recall the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
Identify the sides of the triangle: let \( a \) and \( b \) be the lengths of the two shorter sides, and \( c \) be the length of the longest side (hypotenuse).
Write the Pythagorean theorem equation as: \( a^{2} + b^{2} = c^{2} \).
To determine if the triangle is right-angled, check if the given side lengths satisfy the equation \( a^{2} + b^{2} = c^{2} \).
If the equation holds true, the triangle is right-angled; if not, it is not a right triangle.
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