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Construct a triangle ABC in which BC=7cm,B=75 degree and AB+AC = 13cm.
Answers
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Answer :
Answer : Given : Base BC = 7cm, angle B = 75° and sum of two sides AB + AC = 13 cm.
cm.Required : To Construct ∆ABC
cm.Required : To Construct ∆ABCSTEPS OF CONSTRUCTION :
cm.Required : To Construct ∆ABCSTEPS OF CONSTRUCTION :1. Draw a ray BX and cut off a line segment BC = 7cm; from it.
cm.Required : To Construct ∆ABCSTEPS OF CONSTRUCTION :1. Draw a ray BX and cut off a line segment BC = 7cm; from it.2. At B; construct angle YBX = 75°
cm.Required : To Construct ∆ABCSTEPS OF CONSTRUCTION :1. Draw a ray BX and cut off a line segment BC = 7cm; from it.2. At B; construct angle YBX = 75°3. With B as centre and radius = 13 cm (because AB + AC = 13 cm) draw an arc to meet BY at D.
cm) draw an arc to meet BY at D.4. Join CD
cm) draw an arc to meet BY at D.4. Join CD5. Draw Perpendicular bisector PQ of CD intersecting BD at A.
cm) draw an arc to meet BY at D.4. Join CD5. Draw Perpendicular bisector PQ of CD intersecting BD at A.6. Join AC.
Then ABC is the required triangle.
Then ABC is the required triangle.A lies on perpendicular bisector of CD.
Then ABC is the required triangle.A lies on perpendicular bisector of CD.Therefore, AC = AD
Then ABC is the required triangle.A lies on perpendicular bisector of CD.Therefore, AC = AD=> AB = BD - AD
Then ABC is the required triangle.A lies on perpendicular bisector of CD.Therefore, AC = AD=> AB = BD - AD => AB = BD - AC
Then ABC is the required triangle.A lies on perpendicular bisector of CD.Therefore, AC = AD=> AB = BD - AD => AB = BD - AC=> AB + AC = BD = 13 cm,
cm,Which is true as given.
cm,Which is true as given.HOPE IT WOULD HELP YOU.....
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