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Construction of Triangles

The construct...

Question

The construction of a triangle LMN in which LM=8 cm, angle L=45⁰ is possible when (MN+LN) is?

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Solution

Sum of two sides of a triangle should be greater than the third side. Therefore MN + LN should be greater than LM I.e. 8 cm

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Similar questions

Q. The construction of

Δ L M N

M N = 7

c m

m ∠ M = 45^{\circ}

is not possible when difference of

L M

L N

△ L M N

M N = 7 c m

∠ L M N = 75^{\circ}

L M + L N = 9 c m .

Construct $△$ LMN in which base MN = 7 cm, $∠$ LMN = $75^{\circ}$ and LM + LN = 9 cm.

Q. Construct a triangle

L M N

L M = 7.8 c m, M N = 6.3 c m

∠ L M N = 45^{\circ}

Q. In ∆LMN, m∠M = 40°, m∠N = 50°. Which of the following statements is true?

(1) [l (MN)]² = [l (LM)]² + [l (LN)]²
(2) [l (LM)]² = [l (MN)]² + [l (LN)]²
(3) [l (LN)]² = [l (LM)]² + [l (MN)]²

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