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Determine the area of the shaded triangle below. Explain your reasoning

Determine the area of the shaded triangle below. Explain your reasoning-example-1
User Omoro
by
2.7k points

1 Answer

24 votes
24 votes

Answer:

A = 35 units

Explanation:

The variable "b" represents the length of the triangle's base and "h" represents the highest height of the triangle. The area of a triangle can be determined using the formula:

A = 0.5bh

The area of the top triangle (including the isosceles triangle and the orange triangle) is:

A = 0.5 x (14 units) x (3 units + 5 units)

A = 56 units

The area of the isosceles triangle is:

A = 0.5 x (14 units) x (3 units)

A = 21 units

Thus, the area of the orange triangle is the area of both triangles minus the area of the isosceles triangle.

A = 56 units - 21 units

A = 35 units

User Aruis
by
2.6k points
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