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liq [111]
3 years ago
5

Abcd is a rectangle if DB=26 and DC=24 find bc

Mathematics
1 answer:
Anettt [7]3 years ago
7 0
Let's solve this problem step-by-step.

STEP-BY-STEP EXPLANATION:

Let's first establish that triangle BCD is a right-angle triangle.

Therefore, we can use Pythagoras theorem to find BC and solve this problem. Pythagoras theorem is displayed below:

a^2 + b^2 = c^2

Where c = hypotenus of right-angle triangle

Where a and c = other two sides of triangle

Now we can solve the problem by substituting the values from the problem into the Pythagoras theorem as displayed below:

Let a = BC

b = DC = 24

c = DB = 26

a^2 + b^2 = c^2

a^2 + 24^2 = 26^2

a^2 = 26^2 - 24^2

a = square root of ( 26^2 - 24^2 )

a = square root of ( 676 - 576 )

a = square root of ( 100 )

a = 10

Therefore, as a = BC, BC = 10.

If we want to check our answer, we can substitute the value of ( a ) from our answer in conjunction with the values given in the problem into the Pythagoras theorem. If the left-hand side is equivalent to the right-hand side, then the answer must be correct as displayed below:

a = BC = 10

b = DC = 24

c = DB = 26

a^2 + b^2 = c^2

10^2 + 24^2 = 26^2

100 + 576 = 676

676 = 676

FINAL ANSWER:

Therefore, BC is equivalent to 10.

Please mark as brainliest if you found this helpful! :)
Thank you and have a lovely day! <3
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Seattle, WA and San Francisco, CA lie on the same longitudinal line. San Francisco is at 38° latitude and Seattle is at 47° lati
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Step 1.

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Step 2.

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Step 3.

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Step 4.

The length of arc is equal 1/40 of the circumference:

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7 0
4 years ago
Can someone please check if this is correct?
Solnce55 [7]

Answer:

Just two corrections!  See attached image.

Step-by-step explanation:

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8 times the difference of 10 and b means find 10 - b first, <u>then</u> multiply by 8.

7 0
3 years ago
The length of a rectangle is six times its width.
Hoochie [10]

Answer:

Length = 30

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Step-by-step explanation:

So the formula for perimeter is

P = 2L+2W

And we know that:

L = 6W

So then we put in all the information that we do know

70 = 2(6W)+2W

And pop that into a calculator and you get W=5

So now we put that information into L = 6W to get:

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3 years ago
Which of the following is a valid use of the associative property of addition?
Natasha_Volkova [10]

Answer:

A

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(25+15)-5=40-5=35

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3 0
3 years ago
Read 2 more answers
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