30001 .41 4 #: 4242 m2Exercise 4.1Using Heron's formula, find the area

1.	30001 .41 4 #: 4242 m2Exercise 4.1Using Heron's formula, find the area of a triangle whose sides are(i) 10 cm, 24 cm, 26 cm(ii) 1.8 m, 8 m, 8.2 m
Answer» i) a =10 cm , b = 24 cm and c = 26 cm. ∴ s = (a + b + c )/ 2 s = (10 + 24 + 26) / 2 = 30 cm. By Heron’s formula Area = √(s(s-a)(s-b)(s-c) = √30(30-10)(30-24)(30-26) = √302064 = √14400 = 120 ii) a =1.8 cm , b = 8 cm and c = 8.2 cm. ∴ s = (a + b + c )/ 2 s = (1.8 + 8 + 8.2) / 2 = 9 cm. By Heron’s formula Area = √(s(s-a)(s-b)(s-c) = √9(9-1.8)(9-8)(9-8.2) = √97.210.8 = √51.84 = 7.2 Like my answer if you find it useful!

30001 .41 4 #: 4242 m2Exercise 4.1Using Heron's formula, find the area of a triangle whose sides are(i) 10 cm, 24 cm, 26 cm(ii) 1.8 m, 8 m, 8.2 m

Answer»

i) a =10 cm , b = 24 cm and c = 26 cm.

∴ s = (a + b + c )/ 2

s = (10 + 24 + 26) / 2 = 30 cm.

By Heron’s formula Area = √(s(s-a)(s-b)(s-c)

= √30*(30-10)*(30-24)*(30-26)

= √30*20*6*4

= √14400

= 120

ii) a =1.8 cm , b = 8 cm and c = 8.2 cm.

∴ s = (a + b + c )/ 2

s = (1.8 + 8 + 8.2) / 2 = 9 cm.

By Heron’s formula Area = √(s(s-a)(s-b)(s-c)

= √9*(9-1.8)*(9-8)*(9-8.2)

= √9*7.2*1*0.8

= √51.84

= 7.2

Like my answer if you find it useful!