Question

area of a triangle whose sides are AB=40cm BC=60cm AC=26cm​

Answer 1

Solution:-

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⟹ Here it is given in the question that the sides of a triangle is 40 cm, 60 cm and 26 cm respectively. Now, the question has asked us to find out the area of the triangle. So, to find its area we need to apply the herons formula. And by applying herons formula we will get the answer.

ANSWER:-

⬤ The area of triangle is 619 cm².

GIVEN:-

⬤ 1st side = 40 cm

⬤ 2nd side = 60 cm

⬤ 3rd side = 26 cm

TO FIND:-

⟿ Area = ?

FORMULA:-

➜ Area = √s(s-a)(s-b)(s-c) (Herons formula)

SOLVING BY APPLYING THE FORMULA:-

⬤ 1st side = 40 cm

⬤ 2nd side = 60 cm

⬤ 3rd side = 26 cm

➜ Area = √s(s-a)(s-b)(s-c) (Herons formula)

How to find the area:-

To find the area first of all we have to find out the semi perimeter of the triangle.

➜ Semi Perimeter = 1st side + 2nd side + 3rd side / 2

• Finding the semi perimeter:-

➜ Semi Perimeter = 40 + 60 + 26 / 2

➜ Semi Perimeter = 126 / 2

➜ Semi Perimeter = 126 / 2 = 63

➜ Semi Perimeter = 63 cm.

Now we need to apply the herons formula in order to find out the area.

➜ Herons formula = √s(s-a)(s-b)(s-c)

• Finding the area:-

➜ Area = √63 (63 - 40) (63 - 60) (63 - 26)

➜ Area = √63 (23) (3) (37)

➜ Area = √150×23×3×37

➜ Area = √150×90×50×10 = √382950

➜ Area = √382950

➜ Area = √382950 = 618.82 cm²

➜ Area = 618.82 cm²

➜ Area = 619 cm² [Rounding off to nearest whole number]

Thus, we got the answer. The area of triangle is 619 cm².

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