Question

determine the area of the triangle whose sides are5cm, 13cm , 12 cm

Answer 1

As we can observe that (5,13,12) are pythagorean triplets,

So,


××××××××××××
Area of right angled triangle =>
$\frac{1}{2 } \times product \: of \: small \: sides$

××××××××××××××


Here,


Area = 1/2 × 5 × 12

Area = 5 × 6

Area = 30 cm²


I hope this will help you


(-:

Answer 2

a = 5 cm

b = 12 cm

c = 13 cm

S = ( a + b +c) / 2

=> S = (5+12+ 13)/2

=> S = ( 30 /2)

=> S = 15

Area = sqrt [ S ( s-a) (s - b) (s-c)]

= sqrt [ 15(15-5)(15-12)(15-13)]

= sqrt ( 15 × 10 × 3 × 2)

= sqrt ( 900)

= 30 cm^2