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Two triangle are similar and the ratio of the corresponding sides is 4 3 What is the ratio of their areas?
area of triangle 1 would be 16 and the other triangle is 9 as the ratio of areas of triangles is the square of their similar sides
Does the same relationship between the scale factor of similar rectangles and their area apply for similar triangles?
Yes, the same relationship between the scale factor and area applies to similar triangles. If two triangles are similar, the ratio of their corresponding side lengths (the scale factor) is the same, and the ratio of their areas is the square of the scale factor. For example, if the scale factor is ( k ), then the area ratio will be ( k^2 ). This principle holds true for all similar geometric shapes, including rectangles and triangles.
How do you get the square inches of a polygon?
In general, you divide up the polygon into triangles, calculate the areas of the triangles and then sum these.
What triangles fit into a square?
when a square has even numbers like 4 inches on four sides, 2 triangles will have the same number on all three sides.
Are two quadrilaterals similar if their corresponding angles are congruent?
No. Consider a square and rectangle.
Two similar polygons have areas of 16 square inches and 64 square inches the ratio of a pair of corresponding sides is 1 to 4 is this true or false?
False: Ratio areas= 16 : 64 = 1 : 4 Ratio of sides = sqrt(ratio of areas) = 1 : 2
Are all pentagons similar?
No, similar pentagons (or any polygon for that matter) must have corresponding congruent angles and all sides must be proportional to its corresponding sides. For example, if a square with a triangle on it is a pentagon, then a regular pentagon would not be similar to it (because corresponding angles are not congruent).
The corresponding side lengths of similar triangles are related through multiplication by the factor?
The sum of the squares of the two smaller sides (the two sides adjoining the right angle) is equal to the square of the longest side - which is called the hypotenuse. This result is Pythagoras's Theorem.
Do the ratios of surface area of two similar solids is equal to the square root of the ratio between their corresponding edge length?
Not to the square root, but to the square.
How many triangles does a square pyramid have?
a square pyramid has 4 triangles
How do you calculate perimeter of a square with only area known 81 and corresponding triangles on all side with perimeter of triangle is 30?
The sides of the square are 9 units so the sides of the triangles are 9, 10.5 and 10.5. This makes the perimeter of the shape 8 x 10.5 ie 84 units.
How many triangles can you find in a square?
no triangles
