Question

*In the figure ∠ MNP = 90°, ∠ MQN = 90°, , MQ = 12 , QP = 3 then find NQ .*
1️⃣ 15
2️⃣ 6
3️⃣ 4
4️⃣ 36​

Answer 1

Answer:

<90+<90 +<12+< 3

= 195

Step-by-step explanation:

Angle NQ= 195

explanation

I hope it is a right answer

Please foll ow me

Answer 2

Solution :-

In ∆PNQ and ∆NMQ we have,

→ ∠PQN = ∠NQM { Given that NQ ⟂ MP .}

→ ∠NPQ = ∠MNQ

so,

→ ∆PNQ ~ ∆NMQ { By AA similarity. }

then,

→ PQ/NQ = NQ/MQ

→ NQ² = PQ * MQ { Altitude on hypotenuse theorem. }

putting given values now,

→ NQ = √(12 * 3)

→ NQ = √(36)

→ NQ = 6 cm (Ans.)

Learn more :-

show that AB2 = AD.AC

https://brainly.in/question/47273910