Fid the lengths of the sides of the triangle pqr. is it right triangle? is it an isosceles trianlge? (a) p(3,-2,-3), q(7,0,1), r(1,2,1) (b) p(2,-1,0) q(4,1,1), r(4,-5,4)

Step-by-step explanation:

Vertices of the triangles are given by P, Q and R

To find the type of triangle

We use distance formula to find out the sides,PQ, QR and RP

Distance formula is

a) P(3,-2,-3), Q(7,0,1), R(1,2,1)

Since PQ = RP isosceles triangle

b) P(2,-1,0) Q(4,1,1), R(4,-5,4)

Since pythagorean theorem is satisfied, it is a right triangle.

answer: for each 3 girls there is 2 boys . 3: 2

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