Question

05. Do the points AC3, 2), B(-2,-3) and C(2, 3) form a triangle?
If so, name the type of triangle​

Answer 1

Answer:

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Answer 2

Answer ⤵️

△ABC is a right triangle, right angled at A.

Step by step explanation ⤵️

We have,

$AB = \sqrt{ (- 2 { - 3})^{2} }$

$+ ( - 3 - {2})^{2}$

$= \sqrt{25 + 25} = \sqrt{50}$

$BC = \sqrt{(2 \times {2})^{2} }$

$= \sqrt{16 + 36} = \sqrt{52}$

And ,

$AC = \sqrt{(2 - {3})^{2} }$

$+ (3 - {2})^{2}$

$= \sqrt{( 1 + 1)} = \sqrt{2}$

Clearly,AB+BC>AC,AC+BC>ABandAB+AC>BC. Therefore, points A,B and c form a triangle.

Also,BC ² =AB ² +AC ²

Therefore, △ABC is a right triangle, right angled at A.