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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
What is the ratio of squares to triangles in a triangle?
There are 2 triangles in a square so the ratio to square and triangle is 2 to 1
How can proving two triangles congruent can help prove parts of the triangle congruent?
When you prove a triangle is congruent to another, it can help you prove parts of the triangle congruent by checking the ratio between all sides and angles. Thank you for asking
There are two rectangles what are the ratio of the first to the second?
I guess you mean the ratio of the areas; it depends if the 2 rectangles are "similar figures"; that is their matching sides are in the same ratio. If they are similar then the ratio of their areas is the square of the ratio of the sides.
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
What is the ratio of the areas of an equilateral triangle and a circle if their perimeters are same?
It is 0.6046 : 1 (approx).
An equilateral triangle and a square have equal perimeters what is the ratio of the area of the triangle to the area of the square?
If an equilateral triangle and a square have equal perimeters, then the ratio of the area of the triangle to the area of the square is 1:3.
What ratio does a median divide two equilateral triangle?
A median divides any triangle in half.
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
Which triangle is similar to An equilateral triangle with perimeter 60 ft?
An equilateral triangle with a perimeter of 60 ft has all three sides equal, each measuring 20 ft. Any triangle that is also equilateral and has sides in the same ratio will be similar to it. For example, an equilateral triangle with a perimeter of 30 ft (sides of 10 ft each) or one with a perimeter of 90 ft (sides of 30 ft each) would be similar, as they maintain the same angle measures and the ratio of their corresponding sides is consistent.
Find the ratio of area of the triangles ABC and PQR such that AB = BC=CA = 6m each and PQ, QR, RP are half of the sides AB BC and CA respectively?
Since the sides of triangle are equal, the triangles are equilateral. Just for your information, in this question, we do not require the length of sides. It is just additional information. :) The area of equilateral triangle is: (√3)/4 × a², where a is the side of the equilateral triangle. For triangle ABC, area will be = (√3)/4 × a² (Let 'a' is the side of triangle ABC) Since, side of triangle PQR is half that of ABC, it will be = a/2 Therefore, area of triangle PQR = (√3)/4 × (a/2)² = (√3)/16 × a² Take the ratio of areas of triangle ABC and PQR: [(√3)/4 × a²] / [(√3)/16 × a²] = 4:1
What is the ratio of the length of a side of an equilateral triangle to its perimeter?
Length of a side of an equilateral triangle : Perimeter = 1 : 3 For example, if the length of the sides of an equilateral triangle were 5cm each, then perimeter would be three times that much - 15cm. 5 : 15 is the same as 1 : 3 when simplified. Length of a side of an equilateral triangle : Perimeter = 1 : 3 For example, if the length of the sides of an equilateral triangle were 5cm each, then perimeter would be three times that much - 15cm. 5 : 15 is the same as 1 : 3 when simplified.
What is the correct geometrical name for a regular polygon whose interior and exterior angles are in the ratio of 1 to 2?
It is an equilateral triangle
How do you find the ratio of the perimeters and areas?
There is no simple answer. For an equilateral triangle it is 6.9282/s where s is the length of each side. For a square it is 4/s A regular pentagon: 2.9062/s A regular hexagon: 2.3094/s and so on. The ratio for a circle is 2/r where r is the radius. For irregular polygons there is no rule.
What is a congruent triangle?
A congruent triangle is one where all the angles are identical to those of another triangle, or equivalently, all three sides are the same ratio to the sides of another triangle.
Prove that two equilateral triangles are always similar?
Two triangles are similar if: 1) 3 angles of 1 triangle are the same as 3 angles of the other or 2) 3 pairs of corresponding sides are in the same ratio or 3) An angle of 1 triangle is the same as the angle of the other triangle and the sides containing these angles are in the same ratio. So if they are both equilateral, then they both have three 60 degree angles since equilateral triangles are equiangular as well. Then number 1 above tell us by AAA, they are similar.
How do you create three different drawings showing a number of circles and triangles in which the ratio of circles to triangles is 2 to 3?
To create three different drawings showing a number of circles and triangles in which the ratio is 2:3 you can: Start with an equilateral triangle, draw a circle inside it, draw an equilateral triangle inside the circle, draw a circle in the triangle and then draw an equilateral tiangle in the smallest circle. Or, you could draw 3 triangles and 2 circles in a line. Or, you could draw 3 triangles on a line with 2 circles between them.
