Question

The area of triangle with given two sides 18 cm & 10 cm respectively and perimeter equal to
42 cm is
​

Answer 1

Answer:

Did you mean: The area of triangle with given two sides 18 cm and 10cm respectively and perimeter equal to 42 cm is ​

The area of triangle with given two sides 18 cm and 10 cm respectively and perimeter equal to 42 cm is: a. 20 √11 cm2

Step-by-step explanation:

Answer 2

Area = 21√11 cm²

Step-by-step explanation:

Given:

Perimeter of triangle is 42 cm.

Measure of two sides of triangle are 18 and 10 cm respectively.

Solution: Let the third side of triangle be x cm. Therefore,

➯ Sum of all sides = Perimeter

➯ 18 + 10 + x = 42

➯ x = 42 – 28

➯ x = 14 cm { Third sides of triangle }

Now, For finding area of ∆ we will use Heron's Formula.

First find the Semi-Perimeter (s)

➬ s = (Sum of all sides / 2)

➬ s = (42/2)

➬ s = 21

Formula = √s(s–a) (s–b) (s–c)  (Herons formula)

√21 (21 – 18) (21 – 10) (21 – 14)

=√21 (3) (11) (7)

= √3 × 7 × 3 × 11 × 7

= 3 × 7 √11

= 21√11 cm²

Hence, the area of triangle is 21√11 cm².

Hope helps

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