Question

1. match the correct answer.

the pythagorean inequality theorem says that if a, b, and c represent the three sides of a triangle, and if c is the longest side, and if ( a^2 + b^2 > c^2 ), then the triangle is
, but if ( a^2 + b^2 < c^2 ), then the triangle is
.

1. choose the correct answer.

a pythagorean triple is a set of three nonzero positive ____ numbers, a, b, and c, such that ( a^2 + b^2 = c^2 ).
decimal
square
whole
fractional

Explanation:

Question 2 (Matching)

Step1: Recall Pythagorean Inequality

The Pythagorean Inequality Theorem: For a triangle with sides \(a\), \(b\), \(c\) ( \(c\) longest), if \(a^{2}+b^{2}>c^{2}\), the triangle is acute. If \(a^{2}+b^{2}

Step2: Fill the Blanks

First blank (for \(a^{2}+b^{2}>c^{2}\)): acute triangle. Second blank (for \(a^{2}+b^{2}

Question 3 (Multiple Choice)

Step1: Recall Pythagorean Triple Definition

A Pythagorean Triple consists of three nonzero positive whole numbers \(a\), \(b\), \(c\) such that \(a^{2}+b^{2}=c^{2}\). Decimal, square (not a number type here), and fractional don't fit the standard definition.

Step2: Choose the Correct Option

The correct option is "whole".

Answer:

(Question 2):
First dropdown: acute triangle; Second dropdown: obtuse triangle.