Question

In Fig. 12.47, the measures of some sides and angles are indicated. Show that PQ bisects RS.
Tell Step by Step plz...​

Answer 1

Answer:

Triangle PRT is a right-angled triangle

So, PT^2 = PR^2 + RT^2

3^2 = 2^2 + RT^2

9 = 4 + RT^2

$\sqrt[]{9 - 4}$

RT =

$\sqrt{5}$

Similarly triangle QTS is a right angled triangle thus TS = underoot 5.

As we know that bisector bisects a line in two equal parts.

Thus, PQ bisects RS.