Question

Construct a triangle ABC with BC = AB = 4.5 cm
and angleB = 60°. Measure angleA, angleC and AC.

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Answer 1

Given,

ABC is a triangle.

AB is 4.5 cm.

BC is also 4.5 cm.

Angle b= 60.

Let be consider angle A as 'x' and angle C as '2x'

To Find,

angle A, angle C and AC

Solution,

Therefore,angle A + angle B + angle C =180

              ==> x + 60 + 2x  = 180

              ==> 3x + 60 = 180

              ==> 3x = 180 - 60

              ==>3x = 120

              ==> x = 120/3

              ==> x = 4

• Now, we want to put the value of an 'x'

Therefore,

         angle A = 4

Therefore,

        angle C = 2X

                      =2*[4]

                      = 8