Math, asked by alkapandey18augu49, 8 months ago

D = 90°, AB = 16 cm, BC = 12 cm and CA = 6 cm.
Find CD.

Answers

Answered by shivanshj427

1

Answer:

Step-by-step explanation:

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Answered by omsingh020304

1

Answer:

Step-by-step explanation:

in ABD using pythagoras

AD²+BD²=AB²

AD²=AB²-(BC+CD)²

AD²=16²-(12+CD)² ...........1

in ACD using pythagoras

AD²+CD²=AC²

AD²=AC²-CD²

AD²=6²-CD² ...........2

USING 1 AND 2

16²-(12+CD)² = 6²-CD²

256-144-CD² -24CD=36-CD²

76=24CD

CD=76/24=19/6

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