Question

∆ABC ~ ∆PQR if AB = 3.6 ,PQ = 2.4 and PR = 5.4 AC =?

Answer 1

Since ∆ABC ~ ∆ PQR

AB/ PQ = AC/PR

3.6/2.4 = AC/ 5.4

AC = (3.6×5.4)/2.4

AC = 19.44/2.4

AC = 8.1

Hope it helps.

Answer 2

The value of AC is 8.1 units.

Given: ∆ABC ~ ∆PQR and AB = 3.6, PQ = 2.4 and PR = 5.4

To Find: The value of AC

Solution:

When two triangles are similar then we may draw the following conclusions,

• Corresponding angles of both the triangles are equal.

• Corresponding sides of both the triangles are in proportion to each other.

• Corresponding areas of both the triangles are in proportion to each other.

Coming to the numerical, we are given that;

                  ∆ ABC ~ ∆ PQR.

So, we can say that the corresponding sides of these triangles are in proportion, so we can write;

               ⇒ AB / PQ = AC / PR                                               ....(1)

The side length of AB = 3.6

The side length of PQ = 2.4

The side length of PR = 5.4

Putting respective values in (1), we get;

                ⇒ AB / PQ = AC / PR            

                ⇒ 3.6 / 2.4 = AC / 5.4

                ⇒ AC = 8.1

Hence, the value of AC is 8.1 units.

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