Pls help :(
Clare and Han are discussing how to find the missing lengths. Clare says she is using similarity. Han says he is using the Pythagorean Theorem.
Find the missing sides
Answers
Answer:
similarity
Step-by-step explanation:
look , dude
the two triangles have the following features:
the angle B= angle C = 90 degree
the angle A= the angle F
so the third angle in the first triangle = the third angle in the second triangle
so you have one condition of similarity which is the three angles are equal
to get the answer for lengths :
ab/fe= constant of proportionality
thus ab/fe=2.5/5=.5
so ac/13=.5 thus ac=6.5
and 6/de=.5 so de=12
Both similarity and Pythagorean theorem can be used to find the missing lengths as AC = 6.5 and DE = 12.
What are Similar Triangles?Similar triangles are those triangles which has the same shape but different size.
The length of sides and angles are proportional in similar triangles.
Pythagorean theorem states that for a right angled triangle,
Hypotenuse² = Base² + Altitude²
AC² = BC² + AB²
AC² = 6² + 2.5²
AC² = 42.25
AC = √(42.25) = 6.5
Similarly,
DF² = DE² + EF²
13² = DE² + 5²
DE² = 13² - 5²
DE² = 144
DE = √(144) = 12
If we are using the concept of similarity, ratio of corresponding sides are equal for similar triangles.
AB / EF = BC / DE = AC / DF
2.5 / 5 = 6 / DE = AC / 13
Consider 2.5 / 5 = 6 / DE
Then DE = (6 × 5) / 2.5 = 12
Consider AB / EF = AC / DF
2.5 / 5 = AC / 13
AC = (2.5 / 5) × 13 = 6.5
Hence the missing lengths are AC = 6.5 and DE = 12.
To learn more about Similar Triangles, click :
https://brainly.com/question/14926756
#SPJ5
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sea level = 0
A submarine is 120 ft below sea level. It climbs 50 ft towards sea level.
Where is the submarine compared to sea level now?
A. −170 ft
B. 70 ft
C. −70 ft
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Answer:
c. -70
Step-by-step explanation:
subtract 50 from 120 you get 70, and since we are below sea level it is negative
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ΔABC is similar to ΔFED. Answer the questions to find the length of DF .
1. Which side in ΔFED does AB in ΔABC correspond to?
Write your answer in the space below.
2. Which side in ΔFED does CB in ΔABC correspond to?
Answers
Step-by-step explanation:
ΔABC is similar to ΔFED.
AB are the first 2 letters in ΔABC. Similarly, FE are the first 2 letters in ΔFED.
Hence side AB corresponds to side FE.
CB are the last 2 letters in ΔABC. Similarly, DE are the last 2 letters in ΔFED.
Hence side CB corresponds to side DE.
Answer:
1. EF in ΔFED corresponds to AB in ΔABC.
2. DE in ΔFED corresponds to CB in ΔABC.
3. The length of DF is 10.
Step-by-step explanation:
Given: ΔABC is similar to ΔFED. Find the length of DF.
To Find: The length of side DF in ΔFED
Since, ΔFED is a right-angled triangle and also similar to ΔABC,
Applying similarity of triangles principle,
AB = 4 , EF = 8
BC = 3 , DE = 6
Now, applying Pythagorean theorem on ΔFED,
Hypotenuse² = Length² + Base²
⇒ DF² = DE² + EF²
⇒ DF² = 6² + 8²
⇒ DF² = 100
⇒ DF = √100
⇒ DF = 10
Final Answer: Hence the length of side DF is 10.
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Answers
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Answers
A plumber charges $65 to make a house call plus an additional charge of $42 per hour for labor. Write an equation to represent the total cost (y) for any number of hours (x).
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Step-by-step explanation:
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