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ANEK [815]
3 years ago
10

Given: KLMN is a trapezoid m∠K = 90°, m∠N = 45° LK = LM = 10 Find: KN, Area of KLMN

Mathematics
2 answers:
gregori [183]3 years ago
5 0
<span>KN =KS +SNKS =10Δ MSN is isosceles, because m∠MSN=90⁰, m∠N=45⁰, so m∠NMS=45⁰,
and MS=SN=10.KN =KS +SN =10+10=20
KN=20Area of a trapezoid = (1/2)*(b1+b2)*h
</span><span>b1=10, b2=20, h=10Area  of a trapezoid = (1/2)*(10+20)*10=150Area of trapezoid KLMN =150KN=20</span><span>

</span>

iren [92.7K]3 years ago
3 0

Answer:

KN=20 KLMN=150

Step-by-step explanation:

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