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Marianna [84]
3 years ago
10

Sally says it is possible to draw a triangle with these side length

Mathematics
1 answer:
professor190 [17]3 years ago
7 0

Step-by-step explanation:

The longest side of a triangle cannot be longer than the sum of the two shorter sides. So if the 5cm and 12cm sides are the shorter sides, the third one cannot be longer than the 17cm. ... So 12cm is not longer than 5cm plus the length of the third side, and therefore the missing side cannot be shorter than 7cm.

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In a trapezoid the lengths of bases are 11 and 18. The lengths of legs are 3 and 7. The extensions of the legs meet at some poin
Mademuasel [1]

Answer:  7\frac{5}{7} unit and 18 unit

Step-by-step explanation:

Let ABCD is a trapezoid where AB and CD are the bases. ( In which AB is greatest base which shown in below figure)

AD and BC are the legs of the trapezoid ABCD.

Now, we have ( According to the question ),

AB = 18 unit, BC = 7 unit, AD = 3 unit and DC = 11 unit.

Here the leg AD extends from point D.

Similarly leg BC extends from point C.

Let they meet at point P ( shown in below diagram)

Since In triangles PAB and PDC,

∠PDC ≅ ∠PAB ( because DC ║ AB )

And, ∠ PAB ≅ ∠ PBA

∠DPC ≅ ∠ APB ( reflexive)

Therefore, By AAA similarity postulate,

\triangle PDC \sim \triangle PAB

Thus, By the definition of similarity,

\frac{PD}{PA} = \frac{DC}{AB}

\frac{PD}{PD+3} = \frac{11}{18} ( because PA = PD+DA)

⇒ 18 PD = 11 PD +33

⇒7PD = 33

⇒ PD = 33/7

Again by the definition of similarity,

\frac{PC}{PB} = \frac{DC}{AB}

\frac{PC}{PC+7} = \frac{11}{18} ( because PB = PC + CB)

⇒ 18 PC = 11 PD +77

⇒7PC = 77

⇒ PC = 11

Thus, PA =  PD+DA = 33/7 + 3 = 7\frac{5}{7}

And, PB = PC + CB = 11 + 7 = 18


8 0
3 years ago
Type SSS, SAS, ASA, SAA, or HL to<br> justify why the two larger triangles are<br> congruent.
kipiarov [429]

Answer:

SAS

Step-by-step explanation:

It doesnt show the hypotenuse so its no HL

It doesnt show 2 angles so its not SAA or ASA

It doesnt show three sides so its not SSS

The little line indicates that the sides are congruent. They both have a right angle and the bottom lines are right on top of each other so its SAS

3 0
3 years ago
Help me with this question
kondaur [170]

Answer:

37.68

Step-by-step explanation:

Circumference = Diameter x pi

Diameter = 12 feet

12 x 3.14 = 37.68

The circumference of the pool is 37.68 feet.

7 0
2 years ago
A chef planning for a large banquet thinks that 2 out of every 5 dinner guest will order his soup appetizer he expects 800 guest
Masteriza [31]

Answer:

320 cups of soup

Step-by-step explanation:

2/5= x/800

2/5 =.04  

800*.04 =320       x=320

2/5 = 320/800

2/5 =0.4  is equivalent to 320/800=0.4

6 0
3 years ago
What is the best estimate for the capacity of a large bottle of water ?
frez [133]
If i had to estimate i would say letter D
3 0
3 years ago
Read 2 more answers
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