Question

In triangles ABC, angle A = angle C and BC = 4 cm and AC = 3 cm. What is length of side AB?​

Answer 1

Answer:

THE ANSWER FOR THIS QUESTION IS

AB = 4cm

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Answer 2

Answer :–

• Length of side AB = 4cm.

Given :–

• $\sf \angle A = \angle C$
• BC = 4cm.
• AC = 3cm.

To Find :–

• Length of side AB.

Diagram :–

$\setlength{\unitlength}{1 cm}\begin{picture}(0,0)\thicklines\qbezier(0,0)(0,0)(2,2)\qbezier(0,0)(0,0)(4,0)\qbezier(2,2)(4,0)(4,0)\put(2.7,1.1){ \boldsymbol / }\put(2.8,1){ \boldsymbol / }\put(1,1){ \boldsymbol \backslash }\put(1.1,1.1){ \boldsymbol \backslash }\put(1.8,2.1){ \bf B }\put(-0.3,-0.3){ \bf A }\put(4,-0.3){ \bf C }\qbezier(3.6,0.4)(3.4,0.2)(3.6,0)\qbezier(0.4,0.4)(0.6,0.3)(0.4,0)\qbezier(0.3,0.15)(0.3,0.15)(0.7,0.4)\qbezier(3.7,0.15)(3.7,0.15)(3.3,0.4)\put(3.1,1.2){ \bf 4\ cm }\put(1.5,-0.35){ \bf 3\ cm }\end{picture}$

Solution :–

Given,

$\rightarrow\sf \angle A = \angle C$

By using property,

Opposite sides of equal angles are always equal.

So, we get

• AB = BC

We have to find the length of AB.

And given that,

The value of BC is 4cm.

$\rightarrow$ AB = BC = 4cm

It means,

AB is also 4cm.

Hence,

The length of side AB is 4cm.