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Construct a triangle abc in which …

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Construct a triangle abc in which bc=7cm b=75and ab ac=13

Posted by Piyush Kumar 6 years, 3 months ago

CBSE > Class 09 > Mathematics

1 answers

Sia ? 6 years, 3 months ago

Given: In {tex}\triangle{/tex}ABC, BC = 7 cm, {tex}\angle{/tex}B = 75^o and AB + AC = 13 cm.
Required: To construct the triangle ABC.
Steps of construction :

Draw the base BC = 7 cm.
At the point B construct an angle YBC = 75^o.
Cut an arc from B as centre and radius equal to AB + AC = 13 cm. on the ray BY. Name it D.
Join DC.
Draw the perpendicular bisector of line segment DC which intersects BD at some point name it A.
Join AC.
ABC is the required triangle.

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