Question

The lengths of the sides of a triangle are 5 cm, 12 cm and 13 cm. The length of the perpendicular drawn from the opposite vertex to the side whose length is 13 cm, is (in cm)

Answer 1

Area of triangle given sides a,b,c is

A=✓p(p-a)(p-b)(p-c)

Where p=(a+b+c)/2

Therefore,given the sides 5,12,13

p=(5+12+13)/2=15

Area=✓15(15-12)(15-13)(15-5)=✓900=30

Also,

Area of triangle=1/2*b*h

Base=13

h=60/13=4.615