math

The figure above consists of two equilateral triangles, one of which is inside the other. If the unshaded region within the larger triangle makes up 8/9 of that triangle's area, what is the ratio of the perimeter of the larger triangle to the perimeter of the smaller triangle?
( The figure looks like a smaller triangle (shaded) inscribed in a bigger triangle ( unshaded)

1. 👍 0
2. 👎 0
3. 👁 240
1. 1/9 of the larger triangle's area is unshaded. That means the linear (edge) dimension of the smaller shaded triangle is 1/3 of the edge dimension of the larger triangle. The perimeters of the two triangles will also be in a large:small = 3:1 ratio.

1. 👍 0
2. 👎 0

Similar Questions

1. math

Thirty identical toothpicks were used to create the figure below. There are over 25 triangles in the figure. What is the fewest number of toothpicks that could be removed so that no triangles remain? The image is an equilateral

asked by Charles on August 14, 2019
2. Calculus

Prove that among all triangles with the same perimeter, the equilateral triangle maximizes the enclosed area.

asked by C on July 15, 2020
3. Math

Two triangles of the same shape are always A. similar B. equilateral C. congruent D. equal

asked by Iris on July 24, 2018
4. math

How many equilateral triangles in the plane have two vertices in the set {(0,0), (0,1),(1,0),(1,1)}?

asked by meep on January 12, 2013
1. Algebra 2

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Find the sum of a finite geometric series. The sides of an equilateral triangle measure 16 inches. The midpoints of the

asked by Aby on January 6, 2016
2. Math

What is the correct way to classify the figures shown below? A. Similar B. Congruent **** C. Neither Which figure is congruent to the figure shown?1416290567.gif A. B. C. Which of the following statements are true? A. All similar

asked by Weather on February 11, 2019
3. Geometry

Determine whether each statement is always sometimes or never true. If the answer is sometimes or never draw a counterexample. Two congruent triangels are similar : Two squares are similar : Two isosceles triangles are similar :

asked by Anonymous on January 11, 2016
4. math

Thirty identical toothpicks were used to create the figure below. There are over 25 triangles in the figure. What is the fewest number of toothpicks that could be removed so that no triangles remain? Triangle has base 4 and height

asked by Charles on August 11, 2019
1. Math

An equilateral triangle s divided into 4 congruent equilateral triangles. What method can be used to find the area of the larger equilaterl triangle give the area of one of the smaller triangles? F. Multiply the area of the larger

asked by Danny on December 7, 2010

Which figures will always be similar to each other? two rectangles, two trapezoids, two equilateral triangles, or two hexagons.

asked by Bell on February 18, 2013
3. geometry

Rewrite the statement in if-then form. All equilateral triangles have three congruent sides. a. a figure has three congruent sides if and only if it is an equilateral triangle. b. a figure is an equilateral triangle if and only if

asked by alan on October 2, 2007
4. Math-geometry

A regular polygon with all sides that are congruent and all angles that are congruent. Thus, the regular triangles are equilateral triangles, and the regular quadrilaterals are squares. All equilateral triangles are similar to one

asked by Urgent!! on February 26, 2013