In triangle ABC above, AD is perpendicular to CB. If the lengths of AD and CB were both increased by 50%, how would the area of
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Answer:
The answer is below
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. There are different types of triangles such as scalene triangle, equilateral triangle, isosceles triangle.
The area of a triangle is given as:
A = (1/2) * b * h
where b = base of triangle, h = height of triangle , A = area
Let BC = base = x, and AD = height = y, hence:
A = (1/2) * x * y = 0.5xy
If the lengths of AD and CB were both increased by 50%, hence:
new AD = y + 0.5y = 1.5y, new CB = x + 0.5x = 1.5x
The new area= (1/2) * 1.5y * 1.5x = 1.125xy
Increased area / area = 1.125xy / 0.5xy = 2.25
If the lengths are increased by 50%, the area would also increase and the new area would be 2.25 times
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