Question

In A PQR, PQ=7.5 cm,
QR=6.2cm and a < PR < b. then
find the values of a and b.
1. a=1.3cm; b=13.7 cm
2. a=13cm; b=1.37 cm
3.a= 1.3m; b=13.7m​

Answer 1

Answer:

The values of a and b are 1.3 cm and 13.7 cm respectively. option 1 is the correct answer.

Given:

In  ΔPQR,

PQ=7.5 cm, QR=6.2cm and a < PR < b.

To find:

The values of a and b

Explanation:

We know that the sum of the two sides of a triangle is greater than the third side.

PQ + QR = 7.5+6.2

= 13.7 cm

∴1.3 cm < PR < 13.7 cm

Hence, the values of a and b are 1.3 cm and 13.7 cm respectively.

Triangle :

The triangle is a simple polygon with three sides and three internal angles. It is one of the basic geometric shapes where the three vertices are connected to each other. The angle sum property states that the sum of the three interior angles of a triangle is always 180 degree.  According to the Triangle Inequality Theorem, the sum of the two sides of a triangle is greater than the third side. The longest side is one which faces the larger angle. The exterior angle is always equal to the total of the interior opposite angles.

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