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1 year ago

How does the figure help verify the triangle inequality theorem?

1 answer:

6 0

The figure description helps; Choice A; by showing that a triangle cannot be formed when the sum of the lengths of two sides is less than the length of the third side.

<h3>What is the triangle inequality theorem?</h3>

The triangle inequalities theorem postulates that the sum of lengths of two sides of a triangle must be greater than the length of the third side.

On this note, it follows that the since the sum of sides given in the description 7 and 4 is less than 15, the segments cannot be used to form a triangle.

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What are the answers for 7 and 8??? please help

wolverine [178]

Answer:

7.)

Therefore FT is 33 unit.

8.)

Therefore SU is 98 unit.

Step-by-step explanation:

7.)

Given:

ΔFUT ~ ΔFHG

FU = 39

FH = 130

FG = 110

To Find:

FT = ?

Solution:

ΔFUT ~ ΔFHG ............Given

If two triangles are similar then their sides are in proportion.

$\dfrac{FU}{FH} =\dfrac{FT}{FG} \textrm{corresponding sides of similar triangles are in proportion}\\$

Substituting the values we get

$\dfrac{39}{130} =\dfrac{FT}{110}\\\\FT=\dfrac{110\times 39}{130}=33\\FT=33\ unit$

Therefore FT is 33 unit.

8.)

Given:

ΔSTU ~ ΔFED

ST= 63

FE = 9

FD = 14

To Find:

SU = ?

Solution:

ΔSTU ~ ΔFED ............Given

If two triangles are similar then their sides are in proportion.

$\dfrac{ST}{FE} =\dfrac{SU}{FD} \textrm{corresponding sides of similar triangles are in proportion}\\$

Substituting the values we get

$\dfrac{63}{9} =\dfrac{SU}{14}\\\\SU=\dfrac{882}{9}=98\\\\SU=98\ unit$

Therefore SU is 98 unit.

5 0

2 years ago

An adidas hat that has a regular price of $15.50 and is discounted 25%

lutik1710 [3]

A) $11.63
B) 7.5% tax on something that is $11.63 would be $.87225
C) total cost with sale and tax would be $12.50

3 0

2 years ago

Read 2 more answers

At 2:00 p.m. two cars start toward each other from towns that are 240 miles apart. The rate of one car is 15 mph faster than the

Vesnalui [34]

Hello! :)

The <u>answer</u> is x+15!

~Hope it helps!~ :)

3 0

2 years ago

A basketball team has won 0.625 of its games. If the team has played 24 games, how many games has the team won?

BlackZzzverrR [31]

Answer:

It has won 15 games.

Step-by-step explanation:

24*.625=15

6 0

7 months ago

On a level field, a telephone pole 24 feet tall casts a shadow 6 feet long, and at the same time of day, another nearby telephon

nalin [4]

E. 72
6 feet long cast shadow = 24 feet pole
18 feet long cast shadow = 72 feet pole
18/6=3
24x3=72

5 0

3 years ago