Question

determine whether the points L(-1,1),M(8,4)and N(5,7) are vertices of a right angled triangle or not

Answer 1

Answer:

Step-by-step explanation: for right angled triangle it need to satisfy Pythagoras theorem

By using g distance formula:

√(X2-X1)sq + (Y2-Y1)sq

We get:

Distance between LM=√90

Distance between MN=√18

Distance between NL=√72

By using Pythagoras theorem:

MN²+NL²=LM²

WE GET:

(√90)²=(√18)²+(√72)²

Which is equal to:

90=18+72

90=90

Since it satisfies Pythagoras theorem it is a right angle triangle.