The triangles

The triangles KLM and ABC are given, which are similar to each other. Calculate the lengths of the remaining sides of the triangle KLM, if the lengths of the sides are a = 7 b = 5.6 c = 4.9 k = 5

Correct result:

l =  4
m =  3.5

Solution:

$$\begin{gathered} a=7 \\ b=5.6 \\ c=4.9 \\ k=5 \\ q=k\mathrm{/}a=5\mathrm{/}7={\displaystyle \frac{5}{7}}\doteq 0.7143 \\ l=b\cdot q=5.6\cdot 0.7143=4 \end{gathered}$$

$m=c \cdot \ q=4.9 \cdot \ 0.7143=\dfrac{ 7 }{ 2 }=3.5$

Try another example

Showing 0 comments:

Next similar math problems:

• Inequation
  Solve the inequation: 5k - (7k - 1)≤ 2/5 . (5-k)-2
• Center traverse
  It is true that the middle traverse bisects the triangle?
• Trees
  A young tree is 16 inches tall. One year later, it is 20 inches tall. What is the percent increase in height?
• Sales off
  Goods is worth € 70 and the price of goods fell two weeks in a row by 10%. How many % decreased overall?
• The percentages in practice
  If every tenth apple on the tree is rotten it can be expressed by percentages: 10% of the apples on the tree is rotten. Tell percent using the following information: a. in June rained 6 days b, increase worker pay 500 euros to 50 euros c, grabbed 21 from
• Please help its due tomorrow
  Using one of the following forms x+p=q or px=q write an to represent these problems using x as the unknown variable Emily can jump twice as far as Evan on the broad standing board if Emily can jump 6.5 feet. How many feet can Evan jump?
• Feet to miles
  A student runs 2640 feet. If the student runs an additional 7920 feet, how many total miles does the student run?
• Medians 2:1
  Median to side b (tb) in triangle ABC is 12 cm long. a. What is the distance of the center of gravity T from the vertex B? b, Find the distance between T and the side b.
• Thomas
  Thomas lives 400 meters away from Samko, Robo from Thomas also 400 m and Samko from Robo 500. Anton lives 300 meters away from Robo further as Samko. How far away lives Anton from Rob?
• Triangle ABC
  Construct a triangle ABC is is given c = 60mm hc = 40 mm and b = 48 mm analysis procedure steps construction
• Similarity coefficient
  The triangles ABC and A "B" C "are similar to the similarity coefficient 2. The sizes of the angles of the triangle ABC are α = 35° and β = 48°. Find the magnitudes of all angles of triangle A "B" C ".
• A cliff
  A line from the top of a cliff to the ground passes just over the top of a pole 5 ft high and meets the ground at a point 8 ft from the base of the pole. If the point is 93 ft from the base of the​ cliff, how high is the​ cliff?
• The triangles
  The triangles ABC and A'B'C 'are similar with a similarity coefficient of 2. The angles of the triangle ABC are alpha = 35°, beta = 48°. Determine the magnitudes of all angles of triangle A'B'C '.
• Similar triangles
  In the triangle DEF is DE = 21cm, EF = 14.7cm, DF = 28cm. The triangle D´E´F´ is similar to the triangle DEF. Calculate the lengths of the sides of the triangle D´E´F´ if the similarity coefficient is one-seventh.
• Similarity
  ABC is a triangle wherein a = 4 cm, b = 6 cm, c = 8 cm. Is it similar to the triangle DEF: d = 3 cm, e = 4.5 cm, f = 6 cm? If so, determine the ratio of similarity.
• Similar triangles
  Triangle A'B'C 'is similar to triangle ABC, whose sides are 5 cm, 8 cm, and 7 cm long. What is the length of the sides of the triangle A'B'C ' if its circumference is 80 cm?
• Similar triangles
  The triangles ABC and XYZ are similar. Find the missing lengths of the sides of the triangles. a) a = 5 cm b = 8 cm x = 7.5 cm z = 9 cm b) a = 9 cm c = 12 cm y = 10 cm z = 8 cm c) b = 4 cm c = 8 cm x = 4.5 cm z = 6 cm