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# Construct an isosceles right-angled triangle ABC, where m∠ACB = 90° and AC = 6 cm

**Solution:**

To construct a right-angled ΔABC, where ∠C = 90°, AC = 6 cm, and CA = 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 AC of length 6 cm.
- At C, draw CX perpendicular AC.
- With C as the center, draw an arc of radius 6 cm which should intersect CX at point B.
- Join B and A.
- ΔABC is the required isosceles right-angle triangle.

**☛ Check: **NCERT Solutions Class 7 Maths Chapter 10

**Video Solution:**

## Construct an isosceles right-angled triangle ABC, where m∠ACB = 90° and AC = 6 cm

Class 7 Maths NCERT Solutions Chapter 10 Exercise 10.5 Question 3

**Summary:**

An isosceles right-angled triangle ABC is constructed, where m∠ACB = 90° and AC = 6 cm.

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