Construct an isosceles right-angle triangle $A B C$ . where $m ∠ A C B = 90^{o}$ and $A C = 6 c m$ .

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Solution

$(a)$ Draw a line segment $A C = 6 c m .$
$(b)$ At point $C$ , draw $X C$ perpendicular $C A$ .
$(c)$ Taking $C$ as centre and radius $6 c m,$ draw an arc.
$(d)$ This arc cuts $C X$ at point $B$ .
$(e)$ Join $B A$ .

The figure obtained is the required isosceles right-angled triangle $A B C .$

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

Question 3
Construct an isosceles right angled triangle ABC, where $∠$ ACB= $90^{\circ}$ and AC = 6cm.

△ A B C,

A B = 7 c m

∠ A B C = 50^{o}

∠ A C B

A B^{2} = 2 A C^{2}

△ A B C

B . A B = 3 c m A C = 6 c m

∠ B A C

∠ A C B

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