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in Mathematics by (60.9k points)

Construct a right triangle, when one side is 3.8cm and the sum of the other side and hypotenuse is 6cm.

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Here, if we consider the required triangle to be ΔABC, as shown alongside.

 

Clearly, AB = 3.8cm, B = 900 and BC + AC = 6cm. 

STEPS : 

(i) Draw AB = 3.8cm 

(ii) Through B, draw line BP so that ABP = 900

(iii) From BP, cut BD = 6cm 

(iv) Join A and D. 

(v) Draw perpendicular bisector of AD, which meets BD at point C. 

Thus, ABC is the required triangle.

Case (iii) When the base of the triangle, one base angle and the difference of the other two sides are given.

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