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

i’ve been stuck on this one for a little bit can anyone help me?
What is the sum of the number of faces the number of vertices and number of edges
Need help ASAP!!! A physicist discovers an element whose atom has a mass of 0.00000000000000112 grams. He makes an entry in his journal and writes the mass in
What led to pre-Darwinian controversy
Find the lateral area of the right prism with height 0.3 dm, if the base of the prism is Isosceles trapezoid with bases of 3 cm and 5 cm, and legs of 4 cm;
solve the equation -2 = 3x/5 + 1
Joanne wants to put wallpaper in her daughter's room. Each wall measure 16.8 feet long by 12.9 feet wide. What is the area of one wall in her daughter's bedroom
Mr Sinclair has diabetes and heart trouble and is generally satisfied with the care he has received under original Medicare, but he would like to know more abou
How many ng are there 5.27x10-13 kg
Prove the divisibility of the following numbers: d 45^45·15^15 by 75^30