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Maksim231197 [3]

3 years ago

15

If RU = TU = 56 and RS = 87, what is ST?

2 answers:

UkoKoshka [18]3 years ago

8 0

Answer:

$\huge\boxed{\sf ST = 87 }$

Step-by-step explanation:

<u>Given:</u>

RU = TU

SU ⊥ TR

<u>To find:</u>

ST = ?

<u>Proof:</u>

ΔSTU ↔ ΔSRU

RU ≅ TU (Given)

∠SUT ≅ ∠SUR = 90° (Given that SU ⊥ TR)

SU ≅ SU (Common)

So, ΔSTU ≅ ΔSRU (SAS Postulate)

<u>Hence:</u>

ST ≅ RS (Corresponding sides of congruent triangles.)

So,

ST = 87 (Given that RS = 87)

$\rule[225]{225}{2}$

Hope this helped!

<h3>~AH1807</h3>

Natasha_Volkova [10]3 years ago

6 0

Answer:

If RU = TU = 56 and RS = 87, what is ST?

112

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