Construct the right angled $∆PQR$, where $m\angle Q = 90^{\circ},\ QR = 8cm$ and $PR = 10\ cm$.


Given: $m\angle Q = 90^{\circ},\ QR = 8cm$ and $PR = 10\ cm$.

To do: To construct the right-angled $\triangle PQR$

Steps of construction:

  • Draw a line segment $QR$ of length $8\ cm$.
  • At the point $Q$, let us draw a perpendicular $QX$ such that $QX\perp QR$.
  • Assuming $R$ as a center, let us draw an arc of radius $10\ cm$ which should intersect $QX$ at point $P$.
  • Now, let us join $P$ and $R$.



$\triangle PQR$ is the required triangle.

Updated on: 10-Oct-2022

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