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Ex.10.5 Q2 Practical Geometry Solution- NCERT Maths Class 7

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Question

Construct a right-angled triangle whose hypotenuse is \(6\,\rm{ cm}\) long and one of the legs is \(4\,\rm{ cm}\) long.

 Video Solution
Practical Geometry
Ex 10.5 | Question 2

Text Solution

What is known?

Hypotenuse of a right-angled triangle and one of the legs.

To construct:

A right-angled triangle whose hypotenuse is \(6\,\rm{ cm}\) long and one of the legs is \(4\,\rm{ cm}\) long.

Reasoning:

To construct a right-angled triangle whose hypotenuse is \(6\,\rm{ cm}\) long and one of the legs is \(4 \,\rm{cm}\) long, draw a rough sketch and mark the measures. Remember to mark the right angle
and follow the steps given below.

Steps:

Steps of construction

  1. Draw a line segment \(EF\) of length \(4\,\rm{ cm}.\)
  2. At \(E\), draw \( EX\,\text{perpendicular}\, EF.\)
  3. With \(F\) as centre, draw an arc of radius 6cm which should intersect \(EX\) at point \(D.\)
  4. Join \(D\) with \(F\).

\(ΔDEF\) is the required triangle.

  
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