Question

Help me plz plz plz plz ​

Answer 1

Answer:

sorry

Explanation:

I am not sure about answer

Answer 2

Given :-

• In acute angled△RST. X is a midpoint of RT:

⇒ RX = XT

• RN and YT are perpendicular to ST.

To Prove :-

• YT = ZR

Solution :-

The solution is simple, we need to find the congruence criteria for △RXZ and △TXY

We are given in the question that RX = XT and ∠RXZ = ∠TXY because these are vertically opposite angles.

Now, ST is a straight line and It is also given that, ∠RNS = ∠YTS = 90° , But these are also corresponding angles and two lines are parallel if corresponding angles are equal.

∴ RN || YT

Now, RN || YT and taking RT as transversal, we have

=> ∠NRT = ∠YTR (Alternate Interior Angles) ...(1)

So, In △RXZ & △TXY, we have

=> RX = XT (given)

=> ∠RXZ = ∠TXY (Vertically Opposite Angles)

=> ∠NRT = ∠YTR (from 1)

So, By ASA criteria,

△RXZ ⩭△TXY

∴ YT = ZR

Hence, Proved.

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