Question

In the adjoining figure , ABC is an isosceles triangle with AB =AC =7.5 cm and BC = 9cm .If the height AD from A to BC is 6cm , find: (1) the area of triangle ABC (2) the height CE from C to AB .

Answer 1

1/2×9×6
27cmsquare is the answer

Answer 2

Answer:

Step-by-step explanation:

Semi perimeter is 12 cm.

Apply Heron's formula

Root of 12*{12-7.5}*{12-7.5}*{12-9}

Root of 12*4.5*4.5*3

Root of 729

Which is equal to 27 cm^2

Now CE,

Area of ABC = half *base * height

27=1/2*7.5*h

h=7.2cm