Question

∆ACB and ∆ADB are two congruent right – angled triangles on the same base AB = 6 cm as shown in figure. If AC = 3 cm, find BD.

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

BD = 3cm

Step-by-step explanation:

Given:

• ∆ACB and ∆ADB are two congruent right – angled triangles on the same base.
• AB = 6 cm
• AC = 3 cm

To find:

• BD = ?

Solution:

In ∆ACB and ∆ADB, we have:

• AB = AB (common)

• BC = AD. (given,the triangles are congruent, in addition to this, their corresponding sides are of equal length.)

• Angle ACB = Angle ADB (each 90°)

so, the triangles are congruent.

=> AC = BD (by cpct)

=> 3cm = BD

So, BD = 3cm.

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