Question

In the given figure find x.
OP=5 cm
0T=13 cm​

Answer 1

Answer:

13^2+5^2=194,\194=16

Answer 2

Given:-

• Length of OP = 5cm
• Length of OT = 13cm

To Find:-

• Length of PT = x

Solution:-

Here, PT is the tangent to the circle with center O.

WKT

• ✯ Tangent is perpendicular to the Radius at the point of Contact.

So, In Triangle OPT

Angle OPT = 90°

By Pythagoras Theorem

$→\;{\sf{OP²+PT² = OT²}}$

$→\;{\sf{5²+PT² = 13²}}$

$→\;{\sf{PT² = 169-25}}$

$→\;{\sf{PT = \sqrt{144}}}$

$→\;{\sf{PT = \sqrt{12²}}}$

$➝\;{\bf{PT = 12}}$

• Length of PT → x = 12cm

$\Large{✓}$

Hope It Helps You ✌️