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swat32
3 years ago
12

Given: △ABC, AB=BC=10 cm,

Mathematics
1 answer:
slava [35]3 years ago
7 0

Answer:

AK = CN = 9.6 cm

BN = 8 cm

Step-by-step explanation:

AC is the base of the isosceles triangle, so N is the midpoint of AC. CN is 6 cm, so the Pythagorean Theorem tells us the altitude BN is

... BN = √(BC² -CN²) = √(100 -36) = 8 . . . . cm

The area of the triangle is ...

... Area = (1/2)(AC)(BN) = (1/2)(12 cm)(8 cm) = 48 cm²

The other altitudes (AK, CM) are to sides of length 10, so they can be found from the area formula as ...

... 48 cm² = (1/2)·altitude·(10 cm)

... 48 cm²/(5 cm) = altitude = 9.6 cm

Thus we have BN = 8 cm, AK = CM = 9.6 cm.

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8 0
3 years ago
Six boys are comparing their heights. Andy is taller than Dan but shorter than Ethan. Bill is taller than Ethan and Frank. Frank
Alexxx [7]

List of boys from tallest to shortest is: Bill, Frank, Ethan, Andy, Dan, Cory

<h3><u>Solution:</u></h3>

Given that Six boys are comparing their heights

The six boys are Andy, Dan, Ethan, Bill, Frank, Cory

To find: List the boys from tallest to shortest

<u><em>Andy is taller than Dan but shorter than Ethan</em></u>

So the arrangement goes like this:

Ethan

Andy

Dan

<u><em>Bill is taller than Ethan and Frank:</em></u>

So Bill is taller than ethan. Thus the arrangement from tall to short is made as:

Bill

Ethan

Andy

Dan

Also bill is taller than frank. So frank can be placed anywhere below bill

But given that Frank is taller than Ethan. So frank can be placed above ethan

Now the arrangement goes like this:

Bill

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Ethan

Andy

Dan

<em><u>Cory is shorter than Dan.</u></em>

So cory can be placed below Dan.

<em><u>Thus final arrangement from tallest to shortest boys are:</u></em>

Bill

Frank

Ethan

Andy

Dan

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5 0
3 years ago
+
sineoko [7]

Answer:

The answer is D.

Step-by-step explanation:

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