In the figure, ∠MNP = 90°, seg NQ ⊥ seg MP, MQ = 16, QP = 4, find NQ
a)Solution: In △MNP ∠MNP = 90°, seg NQ ⊥ seg MP, ∴ NQ² = _____________.......(by theorem of geometric mean)
b)Refering the above solution, ∴ NQ = _____
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Answer:Given;
In triangle MNP, angle MNP=90.
Seg NQ ⊥ Side MP.
MQ=9, QP=4.
To find;
l (seg NQ)
Solution;
Given that in right angled triangle MNP, seg (NQ) ⊥ seg (MP).
Hence we can use property of geometric mean.
Using property of geometric mean in Triangle MNP,
NQ² = MQ × QP
MQ=9, QP=4 is given.
NQ²= 9×4.
NQ²= 36.
Taking square roots on both sides,
NQ=6.
Answer;
The length of seg NQ= 6.
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3
Answer:
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