Question

find the area of the triangle whose sides are 17cm,15cm and 8cm using herons formula​

Answer 1

Answer:

60

Step-by-step explanation:

Here, P = 8 + 15 + 17 = 21 cm

S = (a + b + c)/2 sos

= 40/2 = 20 cm

s - a = 12, s - b = 5, s - c = 3

Area of riangle= sqrt S(S-a)(S-b S-b)(S-c)

= sqrt 20(12)(5)(3)

= sqrt 40(12)(5)(3)

60

Answer 2

Answer:

$\sqrt{s(s-a)(s-b)(s-c)} = Area$

$s=(17+15+8)/2$

$s=40/2=20 cm$

$A=\sqrt{20(20-17)(20-15)(20-8)}$

$A=\sqrt{20(3)(5)(12)}$

A= sq root of 20 X 3 X 5 X 12

sq root of (4 X 5) X 3 X 5 X (3 X 4)

sq root of $3^{2} X 4^{2} X 5^{2}$

A=3 X 4 X 5

Area of the triangle= 60 sq.cm

Hope it was helpful