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Calculate the circumference and area of ​​the triangles.

Calculate the circumference and area of ​​the triangles.-example-1

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Answer:

A) circumference = 15 cm and area = 9.5 cm²

B) Circumference = 21 dm

Area = 12 dm²

Explanation:

A) circumference is the same as perimeter. Thus;

Circumference = sum of sides = 6 + 4 + 5 = 15 cm

Area = ½ x base x height

Base = 5 cm and height = 3.8 cm

Area = 1/2 × 5 × 3.8 = 9.5 cm²

B) Circumference; C = 10 + 5 + 6 = 21 dm

Area;

The third side of the unshaded triangle is; L = √(5² - 4²)

L = √(25 - 16)

L = √9

L = 3

Total area of both shaded and unshaded region is;

A_t = ½ × (3 + 6) × 4

A_t = 2 × 9

A_t = 18 dm²

To find area of shaded triangle, let's find the area of unshaded triangle and subtract it from area of total triangle.

Thus;

A_unshaded = ½ × 3 × 4

A_unshaded = 6 dm²

Area of shaded triangle is;

A_shaded = 18 - 6 = 12 dm²

User Ihimv
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