Construct a triangle ABC in which BC is 6 cm - - B is 70- and AC - AB -2 - -4 MARKS-

Steps : 1 Mark Construction : 3 Marks Steps : nbsp; 1. Draw line segment BC = 6 cm. Draw ray BX which makes an angle 70^∘ nbsp;with BC. 2. nbsp;Cut off ...

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Standard VII

Mathematics

Construction of Right Triangles

Construct a t...

Question

Construct a triangle ABC in which BC is 6 cm, $∠$ B is $70^{\circ}$ and AC - AB = 2. [4 MARKS]

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Solution

Steps : 1 Mark
Construction : 3 Marks

Steps :
1. Draw line segment BC = 6 cm. Draw ray BX which makes an angle $70^{\circ}$ with BC.

2. Cut off line segment BD of length AC - AB = 2 cm on BX on the opposite side of BC, Join CD.

$N O T E : A s p o i n t B c o n t a i n s s i d e A B w h i c h i s s m a l l e r t h a n s i d e A C h e n c e w e c u t o f f l i n e s e g m e n t B D = 2 c m (w h i c h e q u a l s A C - A B = 2 c m) o n o p p o s i t e s i d e o f B C$

3. Draw the perpendicular bisector of CD. Let the perpendicular bisector intersect ray BX at A.

4. Triangle ABC is the required triangle.

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