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3 years ago

Given: AB=BC, D is the midpoint of AB, and E is the midpoint BC. Prove: AD=BE

Mathematics

2 answers:

sergij07 [2.7K]3 years ago

5 0

Answer:

AD=BE

Step-by-step explanation:

Because AB and BC are equal, their lengths are also equal and also it is an Isosceles triangle. Therefore the midpoint of AB or the half of AB which is either AD or DE are equal. Vice versa for BC. So AD=BE

wel3 years ago

4 0

Answer:

Using mid point theorem, A line segment joining the mid points of the two sides of the triangle, is equal to half the length of the third side.

D and E are the mid points. Hence,

DE=

(6.4)

DE=3.2cm

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inna [77]

Answer:

The height of the tree = 25 feet

Step-by-step explanation:

From the given diagram : EF = 5 feet, FA = 8 feet, CA = 40 feet

∠AFE = 90° and ∠ACB = 90°

To find : CB, the height of the tree.

Solution : In ΔAEF and ΔAB C

∠AFE = ∠ACB = 90°

∠A is common angle.

So, By AA postulate of similarity of triangle, ΔAEF ~ ΔABC

Now, sides of similar triangles are proportional to each other

$\implies\frac{FA}{CA}=\frac{EF}{CB}\\\\\implies \frac{8}{40}=\frac{5}{CB}\\\\\implies CB=\frac{40\times 5}{8}\\\\\implies CB=25$

Hence, The height of the tree = 25 feet

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3 years ago

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Bad White [126]

Answer:

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Step-by-step explanation:

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1 year ago

Read 2 more answers

I need help on finding the LCD

Kipish [7]

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In this case, the easiest is to convert 1/6 into 2/12. (multiply both numbers by 2).

Then it becomes:

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6 0

3 years ago

3x-9=3(x-3) how many solutions

Colt1911 [192]

Answer:

All Real Numbers

Step-by-step explanation:

Step 1:

3x - 9 = 3 ( x - 3 ) Equation

Step 2:

3x - 9 = 3x - 9 Multiply

Step 3:

- 9 = - 9 Subtract 3x on both sides

Answer:

All Real Numbers

Hope This Helps :)

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3 years ago

In order to ride a roller coaster,a rider must be greater than 49 inches tall.Right now,Jeff is 45 inches tall.Write an inequali

WARRIOR [948]

Answer:

Therefore, we conclude that the Jeff must grow 4 inches in order to ride the roller-coaster.

Step-by-step explanation:

We know that: in order to ride a roller coaster,a rider must be greater than 49 inches tall.Jeff is 45 inches tall.

We have the next inequalitythats:

$x+45>49\\\\x>49-45\\\\x>4\\$

Therefore, we conclude that the Jeff must grow 4 inches in order to ride the roller-coaster.

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3 years ago