Question

PLZZ ANSWER THIS QUESTION.

Answer 1

Step-by-step explanation:

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∆MNT ~ ∆ QRS

So if they r similar we can take ratio..

We can say..

$\frac{MN}{QR} = \frac{TM}{SQ} = \frac{NT}{RS}$

As mentioned..

angle M = angle B

angle R = angle N

and

angle T = angle S

angle TPN = angle SYR ....as both r 90° (given)

angle TPS is congruent to angle SYR

So we can say

∆ TNP is similar to ∆ SRY ...by AA test of similarity

Right?

Now...

We can take ratio as they r similar....

$\frac{TN}{SR} = \frac{TP}{SY} = \frac{5}{9}$

We can say....

$\frac{ \Delta MNT}{ \Delta QRS} = \frac{{TP}^{2}}{{SY}^{2}} = \frac{ 25}{81}$

So our required answer is

$\boxed{\frac{ \Delta MNT}{ \Delta QRS} = \frac{25}{81} }$