Jessie7890 Jessie7890
  • 29-03-2021
  • Mathematics
contestada

In the figure below, the triangles are similar. Find the ratio of their areas from larger to smaller.

In the figure below the triangles are similar Find the ratio of their areas from larger to smaller class=

Respuesta :

kica226 kica226
  • 29-03-2021
Area of larger triangle is A1
21:14=x:8
x=21•8/14
x=168/14
x=12
x=base of triangle
A2=h•b/2
21^2=6^2+h^2
441=36+h^2
h^2=441-36
h^2=405
h= √405
h=20.12

A1=12•20.12/2
A1=6•20.12
A1=120.72


Area of smallest triangle is A2
A2=b•h/2
h=?
14^2=4^2+h^2
196=16+h^2
h^2=196-16
h^2=180
h= √180
h=13.42
A2=8•13.42/2
A2=4•13.42
A2=53.68

Ratio 120.72:53.68
Ratio=2.25
Answer Link

Otras preguntas

Which sentence supports the claim that the Earth has a serious garbage problem? A.According to scientists' research, diapers never decompose! B.Scientists estim
The number of customers at a new taco truck triples every day for a week. The function f(x) = 3^x represents the number of customers on day x. On what day was t
regulating trade is what kind of power
F(x)=square root of x^2+24x+144. g(x) = square root of x^3 -216
Label adverbs ADV, adjectives ADJ, articles AR, all words in prepositional phrases P, and pronouns PN. A crowd of spectators stood pat
What is the main function of any organisms reproductive system
The fact that the Thought Police arrest innocent people shows that the Party governs by a)insidious suggestions b) rewards and punishments c) praise and bl
• How can pollution affect water as a resource?
Factor the following 3z^2+26z-9
The text, or book, of a musical dramatic work is called theA. form.B. libretto.C. story.D. score.