Question

28. Show that the points x(2, -2) y(-2, 1)
and z(5, 2) are the vertices of a right
angled triangle XYZ and also calculate
its area.​

Answer 1

Answer:

1

Step-by-step explanation:

Answer 2

Answer:

area of the triangle is 12.5 units

Step-by-step explanation:  lets measure each side of the triangle

xy=[(-2-2)^2+(1+2)^2]^1/2=5

yz=[(-2-5)^2+(1-2)^2]^1/2=(50)^1/2

xz=[(2-5)^2+(-2-2)^2]^1/2=5

by pythogaras theorem

(yz)^2=(xz)^2+(xy)^2

=((50)^1/2)^2=(5)^2+(5)^2

=50=25+25

50=50

lhs=rhs thus it is proved that it is a right triangle