Question

THE CONSTRUCTION OF TRIANGLE 'LMN' IN WHICH 'LM'= 8cm , angle. L=45° IS POSSIBLE WHEN ('MN' + 'LN') IS _____ cm​

Answer 1

Answer: >8 cm

Step-by-step explanation:

Answer 2

Answer:

MN + LN =  16cm

Step-by-step explanation:

Let's take ∠M = 90°

Given;

• LM = 8cm
• ∠L = 45°

So, LM < MN + LN to form a triangle.

If, ∠L+∠M+∠N = 180

   ∠45+∠90+∠N = 180

   ∠N = 180 - 90+45

   ∠N = 45°

▲LMN is probably a right angled triangle, where ∟M = 90°

Proof;

$(LM)^{2}$ + $(MN)^{2} = (LN)^{2}$

$8^{2}+ 6^{2}= 10^{2}$

64 + 36 = 100

100 = 100