Question

draw an isosceles triangle pqr in which PQ is equal to p r is equal to 6 centimetre and QR is equal to 5 cm construct a triangle ABC similar to Triangle pqr in which a b is equal to 8 cm give the justification of the construction

Answer 1

According to question

given that   

PQ = PR = 6 Cm

and    QR = 5 Cm

Draw  a perpendicular from P to S on side QR

So  QS = SR = 5/2 = 2.5 Cm
So   PS^2 = PR^2 - SR^2
         PS^2 = 36 - 25/4
          PS^2 =  119/4
So       PS = root 119 /2
Thus Area of triangle PQR = 1/2 * QR * PS
                                           = 1/2 * 5 * root 119 / 4
                                          = 5/8 root 119

Similarly Area of triangle ABC = 5/8 root 119