Question

IN 2l
.
. Construct a triangle ABC with BC = AB = 4.5 cm
and ZB = 60°. Measure ZA, ZC and AC.​

Answer 1

Step-by-step explanation:

In triangle∆ABC,

given:BC=AB

Angle B=60°

Angle A = Angle C........(opposite angles of congruent sides)

sum of the all angles of triangles are 180°

A+B+C=180

X+60+X=180....................(let A=C=X)

2X=180-60

2X=120

X=120/2

X=60

Angle A=Angle C= 60°

the ∆ABC is equilateral triangle,

Because all angles are 60°

sideBC=sideAB=sideAC................(sides of equilateral triangles)

AC=4.5cm...........(BC=AB=4.5)...(given)

the angle A and angle C are 60° and Side AC is 4.5cm.

Answer 2

Answer:

In triangle∆ABC,  

given:BC=AB  

Angle B=60°  

Angle A = Angle C(opposite angles of congruent sides)  

sum of the all angles of triangles are 180°  

A+B+C=180  

X+60+X=180(let A=C=X)  

2X=180-60  

2X=120  

X=120/2  

X=60  

Angle A=Angle C= 60°  

the ∆ABC is equilateral triangle,

Because all angles are 60°

sideBC=sideAB=sideAC(sides of equilateral triangles)

AC=4.5cm(BC=AB=4.5)(given)

the angle A and angle C are 60° and Side AC is 4.5cm.

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