# Construct a right-angled triangle whose hypotenuse is 6 cm long and one of the legs is 4 cm long.

**Solution:**

To construct a right-angled ΔDEF, where ∠E=90°, EF = 4 cm, and DF = 6 cm, draw a rough sketch for your reference and mark the measures.

Remember to mark the right angle and follow the steps given below.

**Steps of construction:**

- Draw a line segment EF of length 4 cm.
- At E, draw EX perpendicular to EF.
- With F as the center, draw an arc of radius 6 cm which should intersect EX at point D.
- Join D and F.
- ΔDEF is the required triangle.

**Video Solution:**

## Construct a right-angled triangle whose hypotenuse is 6 cm long and one of the legs is 4 cm long.

### Class 7 Maths NCERT Solutions - Chapter 10 Exercise 10.5 Question 2

**Summary:**

A right-angled triangle is constructed whose hypotenuse is 6 cm long and one of the legs is 4 cm long.