Maharashtra State BoardSSC (English Medium) 7th Standard
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Construct a Right-angled Triangle Given the Hypotenuse and One Side

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notes

Construct a Right-angled Triangle Given the Hypotenuse and One Side:

1) Draw ∆LMN such that m∠LMN = 90°, hypotenuse = 5 cm, l(MN) = 3 cm.

Let us draw the rough figure using the given information.
As m∠LMN = 90°, we draw a right-angled triangle approximately and mark the right angle. Thus we show the given information in the rough figure.

Steps:

  1. As shown in the rough figure, draw the base seg MN of length 3 cm.
  2. At point M of seg MN, draw ray MT to make an angle of 90° to seg MN.
  3. Opening the compass to 5 cm and with the point at N, draw an arc to cut seg MT at L.
    ∆LMN is the required triangle.
  4. Note that a similar figure can be drawn on the other side of the base.
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