Question

In Δ LMN , m ∠ M = 90°. / (LM) = 12 cm, / (LN) = 20 cm, then / (MN) =​

Answer 1

Answer:

Your answer is 16

Step-by-step explanation:

Hope it will help you

Answer 2

Answer :

☞ Length of MN is 16 cm.

Solution :

Given :

• LM = 12 cm.
• LN = 20 cm.
• ∠M = 90°. Hence, Δ LMN is right angled triangle.

To Find :

• Length of MN. { base}

[REFER TO THE ATTACHMENT]

It is given that Δ LMN is right angled triangle. So, we can find the length of its third using Pythagoras theorem :

$\red\bigstar\boxed{H^2=P^2+B^2 }$

here,

• P = LM = 12 cm.
• H = LN = 20 cm.
• B = MN = ? (that we have to find)

So,

➠ LN²= LM² + MN²

Substituting the values ,

➩ 20² = 12² + MN²

➩ 400 = 144 + MN²

➩ 400 - 144 = MN²

➩ 256 = MN²

➩ MN = √256

$\implies \underline{\boxed{\sf \pink{MN = 16 cm }}}$

Hence ,

Length of MN is 16 cm.

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