The areas of two similar triangles are 18 cm^2 and 8 cm^2. One of the sides of the first triangle is 4.5 cm. What is the length of the corresponding side of the other triangle?

1 answer
Question:

The areas of two similar triangles are 18 cm^2 and 8 cm^2. One of the sides of the first triangle is 4.5 cm. What is the length of the corresponding side of the other triangle?

Answers

Answer:   3 cmStep-by-step explanation:The ratio of areas of similar figures is the square of the ratio of linear dimensions. That means the ratio of linear dimensions is the square root of the area ratio. The ratio of the smaller triangle dimensions to the larger is then ...   k = √((8 cm^2)/(18 cm^2)) = √(4/9) = 2/3Then the corresponding side of the smaller triangle is ...... k · (4.5 cm) = (2/3)·(4.5 cm) = 3 cm

Similar Solved Questions

2 answers

How can two substances be made up of the same two elements but have very different properties?

How can two substances be made up of the same two elements but have very different properties?...
1 answer

4 sin ^ 2 x- 4 sin x + 1 = 0

4 sin ^ 2 x- 4 sin x + 1 = 0...
2 answers

The utopian communities founded in the early 1800s were attempts to form perfect societies. based on government institutions. dominated by immigrants. based on European customs.

The utopian communities founded in the early 1800s were attempts to form perfect societies. based on government institutions. dominated by immigrants. based on European customs....
2 answers

Question 5 of 5 Which tool helps geographers display data that have been gathered about the population of a specific location? A. Satellite images B. Three-dimensional models C. Charts and graphs D. Geographic information systems SUBMIT

Question 5 of 5 Which tool helps geographers display data that have been gathered about the population of a specific location? A. Satellite images B. Three-dimensional models C. Charts and graphs D. Geographic information systems SUBMIT...
1 answer

Rita had 6 cups of frosting. She plans to use 2/3 of it to decorate cakes. How many cups will Rita use?

Rita had 6 cups of frosting. She plans to use 2/3 of it to decorate cakes. How many cups will Rita use?...
1 answer

Which biological process involves the conversion of one type of chemical energy into another type of chemical energy?

Which biological process involves the conversion of one type of chemical energy into another type of chemical energy?...
2 answers

Can someone help me with this problem! 7n - 8 = 6

Can someone help me with this problem! 7n - 8 = 6...
2 answers

Simplify fractions 16/18=

simplify fractions 16/18=...
2 answers

What motivates people to suffer for change?

What motivates people to suffer for change?...
1 answer

What two main approaches did women's organizations take to win suffrage?

What two main approaches did women's organizations take to win suffrage?...
1 answer

5. Use the graph of y = e^x to evaluate the expression e^−1.5. Round the solution to the nearest tenth if necessary. A. 1.0 B. 0.6 C. 0.2 D. 0

5. Use the graph of y = e^x to evaluate the expression e^−1.5. Round the solution to the nearest tenth if necessary. A. 1.0 B. 0.6 C. 0.2 D. 0...
1 answer

When a culture becomes highly complex such as the Greek and Roman culture it is usually called

When a culture becomes highly complex such as the Greek and Roman culture it is usually called...
2 answers

Why sodium called alkali metals .​

Why sodium called alkali metals .​...
1 answer

Select all choices that can fill in the blank to make the statement true. -5 is the 5. A additive inverse of B additive equivalent of C opposite of D same as

Select all choices that can fill in the blank to make the statement true. -5 is the 5. A additive inverse of B additive equivalent of C opposite of D same as...
1 answer

The height, in feet, of a t-shirt launched from a t-shirt cannon high in the stands at a football stadium is given by h(x) = -8x^2+ 32x + 40 where x is the time in seconds after the t-shirt is launched.What is the factored form of the equation for the height of the t-shirt?​

The height, in feet, of a t-shirt launched from a t-shirt cannon high in the stands at a football stadium is given by h(x) = -8x^2+ 32x + 40 where x is the time in seconds after the t-shirt is launched.What is the factored form of the equation for the height of the t-shirt?​...
1 answer

Salt lake city was located where in 1846?

salt lake city was located where in 1846?...
2 answers

2. Two angles are supplements if their sum is 180 degrees. The measure of one angle is seven-fifths the measure of its supplement. What is the measure of the smaller angle?

2. Two angles are supplements if their sum is 180 degrees. The measure of one angle is seven-fifths the measure of its supplement. What is the measure of the smaller angle?...
1 answer

Jaime y Tina son las personas a conocí la semana pasada. Quieren comprar una casa está en las afueras de la ciudad. Es una casa era de una artista famosa. La artista, a yo conocía, murió el año pasado y no tenía hijos. Ahora se vende la casa con todos los muebles ella tenía. La sala tiene una alfombra ella trajo de Kuwait. La casa tiene muchos estantes, a Tina le encanta.

Jaime y Tina son las personas a conocí la semana pasada. Quieren comprar una casa está en las afueras de la ciudad. Es una casa era de una artista famosa. La artista, a yo conocía, murió el año pasado y no tenía hijos. Ahora se vende la casa con todos los muebles ella tenía. La sala tiene una...
1 answer

PLZZ HELP!!! A) find the vertical intercept of the graph and explain what information it gives about the situation B) find the slope of the graph and explain what information it gives about the situation

PLZZ HELP!!! A) find the vertical intercept of the graph and explain what information it gives about the situation B) find the slope of the graph and explain what information it gives about the situation...
1 answer

Did Jews in Muslim Spain during the Middle Ages enjoy the Golden Age?

Did Jews in Muslim Spain during the Middle Ages enjoy the Golden Age?...

-- 0.010498--