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2 years ago

Please help me on this question

Mathematics

2 answers:

Alina [70]2 years ago

8 0

Answer:

DE = 13.4 cm (to 1 decimal place)

Step-by-step explanation:

Given: ABCD is a square

BC = AC = 12 cm (opposite sides of a square are congruent)

E is midpoint of BC (given)

BE = EC = 12/2 = 6 cm

CD = AB = 12 cm (opposite sides of a square are congruent)

angle ECD is a right angle (interior angles of a square are 90 deg.)

Consider right triangle ECD

DE = sqrt(EC^2+CD^2) ............. pythagorean theorem

= sqrt(6^2+12^2)

= sqrt ( 36+144 )

= sqrt (180)

= 2 sqrt(45)

= 13.416 (to three dec. places)

Crank2 years ago

4 0

13.4 ..................

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