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What the similarity between median and a midsegment?
Both the median and the midsegment are concepts in geometry that involve division of a triangle. A median connects a vertex of a triangle to the midpoint of the opposite side, effectively dividing the triangle into two equal areas. A midsegment, on the other hand, connects the midpoints of two sides of a triangle, creating a segment that is parallel to the third side and half its length. Both concepts emphasize relationships between triangle sides and areas, highlighting symmetry and balance within the triangle's structure.
What are the similarities between an equilateral triangle and a right triangle?
- Like all triangles, the angles must total to 180 degrees. - Both have the same formula for their areas, although the height of an equilateral triangle must be calculated from the side length. - Both have at least 2 acute angles (all three are 60 degrees in an equilateral triangle) and no obtuse angles. - Both figures have three sides. - Both figures have three angles.
What is the relationship between circles and triangles?
Circles and triangles are geometric shapes with distinct properties, but they can be related through various geometric principles. For example, a circle can be inscribed in a triangle or a triangle can be inscribed in a circle. Additionally, the circumcircle of a triangle is a circle that passes through all three vertices of the triangle. These relationships demonstrate the interconnected nature of geometric shapes and the principles that govern their properties.
How can you say that if areas of two triangles are equal then they are congruent?
In order for a triangle to be congruent the two triangles have to be the same shape and size, thus they are congruent if they can be moved into an isometry or any other combination. But you're asking how a question which has two possibilities. Assuming that you have two triangles whose sides are equivalent which makes the areas equal to each other then you can state the side-side-side rule which is if the three sides of one triangle is equivalent to the other three sides of the other triangle then they are congruent. But if you have an angle present in the triangles you could argue the angle angle side rule, but if the angles are joint you would argue the angle side angle. But if one triangle has one degree and the other one has a different degree then they will not be congruent.
What areas are generally affected by smog?
in cities and industrialised areas are highly polluted with smog
Does a parallelogram and a triangle can have the same base and area?
Yes, a parallelogram and a triangle can have the same base and area. If a triangle and a parallelogram share the same base and height, the area of the triangle will be half that of the parallelogram. However, if the triangle is formed by using one of the sides of the parallelogram as its base and the height is the same, they can have the same area. Thus, they can have the same base but will only have equal areas under specific conditions.
What does each diagonal do to a parallelogram?
In a parallelogram, each diagonal divides the shape into two congruent triangles, ensuring that the areas of the resulting triangles are equal. The diagonals also bisect each other, meaning they intersect at their midpoints. Additionally, the diagonals can be used to determine the properties of the parallelogram, such as its symmetry and area.
What triangle and parallelogram have the same area?
A triangle and a parallelogram can have the same area if the base and height of the triangle are proportional to the base and height of the parallelogram. Specifically, the area of a triangle is given by ( \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} ), while the area of a parallelogram is ( \text{Area} = \text{base} \times \text{height} ). Therefore, if the base of the parallelogram is twice the base of the triangle and they share the same height, their areas will be equal.
What is the area if the base is 127cm and the height is 10.5cm?
It depends on the shape. A triangle and a parallelogram with these dimensions will have different areas.
How is the area of a triangle different from the area of a parallelogram?
the difference is you bxh for parallelogramand you (bxh)x2 fortrianglea triangle has 4 sides and a parallelogram has 3 obviously they have different areas silly goose. I would know i go to harvard math
What the similarity between median and a midsegment?
Both the median and the midsegment are concepts in geometry that involve division of a triangle. A median connects a vertex of a triangle to the midpoint of the opposite side, effectively dividing the triangle into two equal areas. A midsegment, on the other hand, connects the midpoints of two sides of a triangle, creating a segment that is parallel to the third side and half its length. Both concepts emphasize relationships between triangle sides and areas, highlighting symmetry and balance within the triangle's structure.
What is diagonal merger?
When firms diversify into new business areas, it is called Diagonal Merger
What is a diagonal in volleyball?
A diagonal is when the hitter hits the ball in a diagonal direction. Hitters almost always do this because the corners are one of the toughest areas to cover.
How is the formula for the area of a trapezoid related to the formula for a area of a parallelogram?
They both use perpendicular height and are in square units. Area of a trapezoid = 0.5*(sum of parallel sides)*perpendicular height Area of a parallelogram = base*perpendicular height
Why is the area of a rectangle greater than that of a parallelogram?
Not necessarily. In fact, if a rectangle and parallelogram have the same base and height, their areas are equal.
Can a parallelogram and a rectangle have the same perimeters but different areas?
Yes.
How do the areas of the circle and the parallelogram compare?
They both are areas. Just Kidding. Both of them have to have a height and length.
