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Q: One equilateral triangle has sides 9 ft long Another equilateral triangle has 13 ft long Find the ratio of the areas of the triangle?

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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

There are 2 triangles in a square so the ratio to square and triangle is 2 to 1

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

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.

False: Ratio areas= 16 : 64 = 1 : 4 Ratio of sides = sqrt(ratio of areas) = 1 : 2

Related questions

It is 0.6046 : 1 (approx).

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.

A median divides any triangle in half.

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

The answer depends on whether you are referring to the perimeter or area, and also which characteristics are comparable: the sides of (an equilateral) triangle, its height and the radius or diameter of the circle.

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.

It is an equilateral triangle

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

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.

The answer depends on what ratio of the triangle you are interested in.

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.

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.

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