Question

Two sides of triangle are 26cm and 30 cm.if perimeter of traingle is 84cmfind area

Answer 1

Given :-

• Two sides of triangle that is 26 cm and 30cm.
• Perimeter of triangle = 84 cm

To find :- Area of triangle

SolutioN:-

• First we have to find third side of triangle for area.

Let the third side be x

So, we know that

◆Perimeter of triangle = Sum of all sides

Put the value in formula

➟ 84 = 26 + 30 + x

➟ 84 = 56 +x

➟ 84 - 56 = x

➟ x = 28 cm

So , third side of triangle is 28 cm

• Now our last step to find area of triangle

As , we see all sides of triangle are not equal So we can't use 1/2 ×base + height. Then we use heron's formula that is :

◆ Area of triangle = √s(s-a)(s - b)(s-c)

In which S is half of perimeter and a , b , c are sides.

So, S = 84 / 2

s = 42 cm

Now , put the values in heron's formula

➟ √42 (42 - 26)(42 - 30)(42 - 28)

➟ √ 42 × 16 × 12 × 14

➟ √2 x 3 x 7 × 2 × 2× 2 × 2× 2 × 2 × 3 × 2 × 7

➟ 2 × 2× 2 × 2 × 7 × 3

➟ 336 cm²

❝ Hence , Area of triangle is 336cm²❞

Answer 2

Answer:

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Step-by-step explanation:

this ok bye

above answer is correct