popsiclespopping popsiclespopping
  • 22-03-2020
  • Mathematics
contestada

Triangles DEH and DFG are similar. HE = 1.2 cm, GF= 4.8 cm and DF = 7.2 cm.
4.8 cm
1.2 cm
7.2 cm
(a)
Find the length of DE, showing your working clearly.
​

Respuesta :

jimrgrant1 jimrgrant1
  • 22-03-2020

Answer:

DE = 1.8 cm

Step-by-step explanation:

Given that the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{DF}{DE}[/tex] = [tex]\frac{GF}{HE}[/tex], and substituting values

[tex]\frac{7.2}{DE}[/tex] = [tex]\frac{4.8}{1.2}[/tex] ( cross- multiply )

4.8DE = 8.64 ( divide both sides by 4.8 )

DE = 1.8 cm

Answer Link

Otras preguntas

all electromagnetic radiation: A. can travel through empty space B. travels at the same speed in a vacuum C.consists of photons D. all of the above
Which of the following is most likely the next step in the series?​
Explain about great bath?
h(6)= ? I don't even know what the question is asking me to do
The triangle ABC formed by AB = 13cm, BC=5cm andAC = 12cm is​
Solve the system of linear equations and check any solutions algebraically.
Which of the following is a factor of x3+ 6x2 + 5x – 12? A.X + 1 B. x - 3 C. x + 2 D. x + 4
Choose the best estimate for the multiplication problem below. 20.82 6.94 A. 140 B. 190 C. 110
Write each of the following expressions without using absolute value. 7m–56|, if m<8
Given a graph of a system that has exactly one solution, how would you estimate the solution to the tenths place? Explain the process.