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Q.

State True/False.

The given triangle is the correct representation of an isosceles right-angled triangle ABC, where angle ACB = 90° and AC = 5 cm. 

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a

True

b

False

answer is A.

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Detailed Solution

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Given, Triangle ABC, where angle C = 90o , AC = 5 cm

Since it is an isosceles right-angle triangle, therefore, AC = BC = 5 cm

Steps of construction:
1. Draw a line CB of length 5 cm.
2. At point C, draw CX perpendicular to CB.
3. Taking C as the center, draw an arc with a radius of 5 cm on CX.
4. This arc should cut CX at point A since A is at a 5cm distance from C.
5. Join AB.
Hence, The required isosceles right-angled triangle ABC is obtained.

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