Construct a right-angled isosceles triangle with one side (other than hypotenuse) of length 4.5 cm.

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Solution

Steps of construction
Step I Draw a line AB = 4.5 cm
Step II Construct a right angle $(90^{\circ})$ at point B, i.e. $∠ A B Y = 90^{\circ}$ .
Step III From point B cut an arc 4.5 cm on BY at C.
Step IV Join C to A.

Hence, $Δ A B C$ is the required triangle having AB = AC = 4.5 cm.

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Question 96
Construct a right-angled isosceles triangle with one side (other than hypotenuse) of length 4.5 cm.

4

X Y Z

X Y = 4.5 c m

Y Z = 6 c m

Construct a right-angled triangle whose hypotenuse measures 5 cm and the length of one whose sides containing the right angle measures 4.5cm.

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