three line segments have measures of 4 units, 6 units, and 8 units. Will the segments form a triangle?
1 answer:
Given:
Three line segments have measures of 4 units, 6 units, and 8 units.
To find:
Will the segments form a triangle?
Solution:
We know that three line segments can form a triangle if the sum of two smaller sides is greater than the largest side.
Three line segments have measures of 4 units, 6 units, and 8 units. Here, the measure of the largest sides is 8 units.
The sum of two smaller sides is
Since the sum of two smaller sides is greater than the largest side, therefore the segments will form a triangle.
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The area of the composite figure is
Explanation:
From the given figure, we can see that the area of the composite figure = area of the rectangle + area of the triangle.
Area of the rectangle :
The formula is given by
where and
Substituting, we have,
Thus, the area of the rectangle =
Area of the triangle :
The formula is given by
where
and
Substituting, we have,
Thus, the area of the triangle =
Area of the composite figure = Area of the rectangle + area of the triangle
Area of the composite figure =
Thus, the area of the composite figure is