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MAVERICK [17]
3 years ago
9

Prove that the lengths of the diagonals of an isosceles trapezoid are equal

Mathematics
1 answer:
SOVA2 [1]3 years ago
6 0
AD || BC 
<span>• AB = CD </span>
<span>• ∠BAD = ∠CDA (a given condition ∵ ABCD is an isosceles trapezium) </span>

<span>The diagonals AC and BD create two ∆'s: ∆ABD, and ∆ACD </span>

<span>The two ∆'s are congruent (SAS).  </span>
 
<span>(S): AB = CD </span>
<span>(A): ∠BAD = ∠CDA 
</span><span>(S): AD = DA (common side) </span>
<span>
The corresponding sides of the two ∆'s, BD and AC, are also congruent. </span>
<span>(the two diagonals of the trapezium/trapezoid) 
</span>
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3 years ago
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= 649 - 299

= 350

7 0
3 years ago
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