Asked by Jakis

This question is suppose to be simple but i keep getting it wrong
Triangle LMN has vertices L(1, 6), M(6, 3) and N(5, 7). What type of triangle is Triangle LMN? Select all that apply

Scalene triangle
Right triangle
Isosceles triangle
Equilateral triangle
Obtuse triangle
Acute triangle

I got Isosceles Triange and acute but i keep getting it worong

Answers

Answered by Steve
LM = √(5^2+3^2) = √34
LN = √(4^2+1^2) = √17
MN = √(1^1+4^2) = √17

So, it is isosceles.
But since

√17^2 + √17^2 = √34^2
17+17 = 34

it is a right triangle.
Answered by Anonymous
How do you know its a right angle when the answer is 34 i thought it has to be 90?
Answered by Steve
I'm not talking about angles, but sides. Remember the Pythagorean Theorem?

a^2 + b^2 = c^2
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