Question

Construct ∆LMN right-angled at M٫ given that LN = 8.2 cm and MN = 6.5 cm۔
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Answer 1

Step-by-step explanation:

Draw a rough sketch of ΔLMN as shown in the adjacent figure. Then draw the required ΔLMN by following the given steps of construction.

• $\sf{Draw \: a \: line \: segment \: MN = 6.5 \: cm}$
• $\sf{At \: M, Construct \angle{XMN} = 90°}$
• $\sf{With \: centre \: N \: and \: radius = 8.2 \: cm}$
• $\sf{draw \: an \: arc \: cutting \: XM \: at \: L}$
• $\sf{Join \: LN}$

Then, ΔLMN is the required right-angled triangle.