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ivolga24 [154]
3 years ago
11

At an archeological​ site, the remains of two ancient step pyramids are congruent. If ABCD is congruent to EFGH, find GH

Mathematics
1 answer:
Alona [7]3 years ago
8 0

Answer:

40 ft

Step-by-step explanation:

If two polygons are congruent to one another, therefore, it implies that the angles and sides of one is congruent to the corresponding sides and angles of the other.

Given that ABCD is congruent to EFGH, therefore:

CD ≅ GH

Since CD = 40 ft, therefore, GH will be 40 ft.

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