# 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** –

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

\(ΔDEF\) is the required triangle.