Mathematics, 28.06.2019 18:00 s913823

The lengths of the sides of a triangle are 8m, 10m, 12m. what are the lengths of the sides of a similar triangle that has a perimeter of 45m ?

Answers: 2

Show answers

Answers

Answer from: solikhalifeoy3j1r

The lengths of the sides of a similar triangle that has a perimeter of 45 m are 12 m , 15 m , 18 m

Further explanation

Firstly , let us learn about trigonometry in mathematics.

Suppose the ΔABC is a right triangle and ∠A is 90°.

sin ∠A = opposite / hypotenusecos ∠A = adjacent / hypotenusetan ∠A = opposite / adjacent

Let us now tackle the problem!

A similar triangle has the same angle, in other words the triangle has the same shape but different sizes.

Given:

The lengths of the sides of a triangle are 8 m, 10 m, 12 m

$\texttt{Perimeter of First Triangle} = 8 + 10 + 12 = 30 \texttt{ m}$

$\texttt{Perimeter of Second Triangle : Perimeter of First Triangle = 45 : 30}$

$\texttt{Perimeter of Second Triangle : Perimeter of First Triangle = 3 : 2}$

Therefore , the lengths of the sides of a similar triangle will be:

$s_1 = \frac{3}{2} \times 8 = 12 \texttt{ m}$

$s_2 = \frac{3}{2} \times 10 = 15 \texttt{ m}$

$s_3 = \frac{3}{2} \times 12 = 18 \texttt{ m}$

Learn moreCalculate Angle in Triangle : Periodic Functions and Trigonometry : Trigonometry Formula : Answer details

Grade: College

Subject: Mathematics

Chapter: Trigonometry

Keywords: Sine , Cosine , Tangent , Opposite , Adjacent , Hypotenuse , Triangle , Fraction , Lowest , Function , Angle

The lengths of the sides of a triangle are 8m, 10m, 12m. what are the lengths of the sides of a simi

Answer from: bbrid8590

The lengths of the sides of a similar triangle that has a perimeter of 45 m are $\boxed{12{\text{ m}}}, \boxed{15{\text{ m}}}$ and $\boxed{18{\text{ m}}}.$

Further Explanation:

The similar triangles are those in which all the corresponding angles are equal and the sides are proportional.

Explanation:

If the two triangles are similar to each other than the ratios of the corresponding sides are equal.

The ratio of the perimeter of the similar triangles is equal to the ratio of the sides.

Consider the first side of the similar triangle as .

Consider the second side of the similar triangle as .

Consider the third side of the similar triangle as .

The lengths of the sides of a triangle are 8 m, 10 m and 12m.

The perimeter of the triangle can be obtained as follows,

$\begin{aligned}{\text{Perimeter}} &= 8 + 10 + 12\\&= 30{\text{ m}}\\\end{aligned}$

The perimeter of the similar triangle is $45{\text{ m}}.$

The ratio of the perimeter can be obtained as follows,

$\begin{aligned}{\text{Ratio}} &= \frac{{45}}{{30}}\\&= 1.5\\\end{aligned}$

The lengths of side first side can be obtained as follows,

$\begin{aligned}\frac{x}{8} &= 1.5\\x&= 1.5 \times 8\\x&= 12{\text{ m}}\\\end{aligned}$

The lengths of second side can be obtained as follows,

$\begin{aligned}\frac{y}{{10}} &= 1.5\\ y&= 1.5 \times 10\\y&= 15{\text{ m}}\\\end{aligned}$

The lengths of first side can be obtained as follows,

$\begin{aligned}\dfrac{z}{{12}} &= 1.5\\z&= 1.5 \times 12\\z&= 18{\text{ m}}\\\end{aligned}$

The lengths of the sides of a similar triangle that has a perimeter of 45 m are $\boxed{12{\text{ m}}}, \boxed{15{\text{ m}}}$ and $\boxed{18{\text{ m}}}.$

Learn more:

Learn more about inverse of the functionhttps://.

Learn more about equation of circle .

Learn more about range and domain of the function

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Triangle

Keywords: angles, triangle, similar, perimeter, lengths of sides, sides, lengths, similar triangle, two right triangles, one smaller, right angles, straight angle, two acute angles, overlapping.

Answer from: Quest

sorry, i'm new here and i'm just trying to figure this out. try quizlet. rate 5* you!

Answer from: Quest

homozygous. one is homozygous, while two is heterozygous.

Another question on Mathematics

Mathematics, 22.06.2019 00:30

The base of the rectangle pyramid is 13 inches long and 12 inches wide the height of the pyramid is 18 inches . what is the volume of the pyramid ?

Answers: 2

Answer

Mathematics, 22.06.2019 01:00

The correlation coefficient between the number of students and marks obtained in end semester exam. (13 marks) give the statistical meaning of the relationship between the number of students and marks b. obtained in end semester exam. (3 marks) draw the number of students and marks obtained in end semester exam scatter diagram c. (4 marks) check list write your name and id corectly write the question number properly use your own calculator. show all the steps to solve the problems. use the correct formula. answer in provided time. don't use your mobile for any purpose. write your answer up to two decimal places

Answers: 3

Answer

Mathematics, 22.06.2019 02:30

Anne plans to increase the prices of all the items in her store by 5%. to the nearest cent, how much will an artist save if the artist buys a canvas and a frame that each measure 24 by 36 inches before the price increase goes into effect?

Answers: 1

Answer

Mathematics, 22.06.2019 03:00

For the following equations, find the ratio of a to b. be sure to show all of your work. a. 3a = 6b b. 15a = 5b

Answers: 2

Answer

You know the right answer?

The lengths of the sides of a triangle are 8m, 10m, 12m. what are the lengths of the sides of a simi...

Questions

Mathematics, 07.12.2019 10:31

Ie numbers add to? have got the numbers 18 20 23 24 27 if the 3 highest 3 consecutive numbers add to 30 what are the 3 lowest consecutive numbers add...