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vaishakh
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In triangle ABC, find points X, Y and Z on AB, BC and CA such that AXYZ is a rhombhus. Show that area of the rhombhus AXYZ<= 1/2A(ABC)
The formula for finding the area of a rhombus in triangle ABC is (base x height)/2. This is because a rhombus is a parallelogram with all sides equal, and the area of a parallelogram is base x height.
To find the base and height of a rhombus in triangle ABC, you can use the Pythagorean theorem. The base of the rhombus will be one of the sides of the triangle, and the height can be found by drawing a perpendicular line from the base to the opposite vertex of the rhombus.
Yes, you can find the area of a rhombus in triangle ABC without knowing the height. If you know the length of the base and the measure of one angle of the rhombus, you can use the sine function to find the height. Then, you can plug the values into the formula (base x height)/2 to find the area.
The area of a rhombus in triangle ABC is half the area of the triangle. This is because the rhombus divides the triangle into two equal parts, and the area of a rhombus is half the product of its diagonals.
Yes, the formula (base x height)/2 can be used to find the area of a rhombus in any triangle. As long as the rhombus is formed by drawing a diagonal from one vertex to the opposite side of the triangle, the formula will work.