Question

UNIT TEST 1
040 min 37 sec ☺
6)
In an Isosceles right angled ALMN, LMN=900,
LN=22CM Find LM.​

Answer 1

Step-by-step explanation:

• in isosceles right angle triangle LMN
• LN=22cm, find LM
• the triangle is an isosceles then two angle are same.
• Let, remaining two angles of a triangle be x.
• angle L + angle M + angle N = 180°.......... (angles of a tringle )
• x + x +90=180
• 2x + 90 = 180
• 2x = 90-----------------(180-90=90)
• x = 90/2
• x = 45°
• angle L= angle N= 45°

• side opposite to angle 45° = 1/

$side oppsite to angle {45}^{0} = \frac{1}{ \sqrt{2} } \times hypotenuse$

• LM = 1/root 2 x 22
• Lm = 22root 2