Question

verify the vertices (2 3) (7 -1)and(-1 3)form a right angled triangle

Answer 1

A(2,3) B(7,-1), C(-1,3)

Answer 2

Answer:

The vertices do not form the right angle triangle

Explanation:

Let the vertices are A(2 ,3), B(7, -1)and C(-1, 3)

$AB = \sqrt{(2-7)^{2} +(3+1)^{2} } \\AB = \sqrt{25 +16} \\AB = \sqrt{41} unit$

similarly,

$BC = \sqrt{(7+1)^{2} +(-1-3)^{2} } \\BC = \sqrt{64+16} \\BC = \sqrt{80} unit$

$CA = \sqrt{(-1-2)^{2} +(3-3)^{2} } \\ CA= \sqrt{9+0} \\CA = 3 unit$

In right angle,

From Pythagoras Theorem, we have

$AB^{2} +BC^{2} = CA^{2} \\41 +80\neq 3$

Hence,  the vertices do not form the right angle triangle.

Addition:

It is the process of adding two or more integers together. The numbers being added are known as addends, while the outcome of the addition process, or the final response, is known as the sum. The combination of at least two numbers constitutes basic addition. Once a student has mastered counting, they can begin to study basic addition. The learner can start learning basic addition once they have mastered counting. They can use the second chart as a learning tool by finding the addend at the top of the chart and following down to the row of the second addend. It has following major characteristics: associative, distributive, and additive identity.

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