Construct an isosceles right angled ∆ xyz in which y 90 and the two sides are 5cm each

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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:

1. Draw a line segment AC of length 6 cm.
2. At C, draw CX perpendicular AC.
3. With C as the center, draw an arc of radius 6 cm which should intersect CX at point B.
4. Join B and A.
5. ΔABC is the required isosceles right-angle triangle.

☛ Check: NCERT Solutions Class 7 Maths Chapter 10

Video Solution:

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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