Question

main ideas/questions | notes
parts of a right triangle | image of a right triangle with legs a, b and hypotenuse c

• sides a and b are called ______
• side c is called the ______

what is the pythagorean theorem? | the pythagorean theorem is used to find a missing side length on a ______ triangle!
formula: blank box

Explanation:

Step1: Recall parts of right triangle

In a right triangle, the sides forming the right angle are called legs. The side opposite the right angle is the hypotenuse. So sides \(a\) and \(b\) are legs, side \(c\) is hypotenuse.

Step2: Recall Pythagorean Theorem

The Pythagorean Theorem applies to right - angled triangles. The formula is \(a^{2}+b^{2}=c^{2}\), where \(a\) and \(b\) are the legs and \(c\) is the hypotenuse.

Step3: Fill in the blanks

• For "Sides \(a\) and \(b\) are called", the answer is "legs".
• For "Side \(c\) is called the", the answer is "hypotenuse".
• For "The Pythagorean Theorem is used to find a missing side length on a _ triangle", the answer is "right - angled".
• For the formula, the answer is \(a^{2}+b^{2}=c^{2}\).

Answer:

• Sides \(a\) and \(b\) are called: legs
• Side \(c\) is called the: hypotenuse
• The Pythagorean Theorem is used to find a missing side length on a: right - angled triangle
• Formula: \(a^{2}+b^{2}=c^{2}\)