Find the ratio a:b if it is given that 2a-b/6 = b/3, then what is a?
1 answer:
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The given shapes area is found to be 4 square yards.
Step-by-step explanation:
Step 1; To determine the area of an indefinite shape we must divide it into the shapes that we know. The shape that is given can be split into a triangle with a rectangle in it.
Step 2; Any given triangles area is half the multiplication of its base value and its height value. In the given diagram, the base of the triangle measures a length of 5 yards and the length from base to top is 4 yards
Area of the triangle = * base * height =
* 5 * 4 = 10 square yards.
The given rectangle measures a length of 3 yards and a width of 2 yards. The area of any given rectangle is the multiplication of its length and width.
Area of the rectangle = Length * Width = 3 yards * 2 yards = 6 square yards.
Step 3; To find the total area of the shape we must subtract the the rectangle's area from the triangle's area.
Area of given shape = Area of the triangle - Area of the rectangle.
Area of given shape = 10 square yards - 6 square yards = 4 square yards.
Answer:
Triangle Proportionality Theorem is defined by a line parallel to one side of a triangle divides the other two sides proportionally.
Step-by-step explanation:
Triangular Proportionality Theorem states that:
- If a line parallel to one side of a triangle intersects the other two sides, then it divides those sides proportionally.
Let us consider the triangle ΔABC as shown in attached figure.
If
║
then
Therefore, Triangle Proportionality Theorem is defined by a line parallel to one side of a triangle divides the other two sides proportionally.
Keywords: Triangle Proportionality Theorem, triangle, line segment
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