Question

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

Answer 1

Answer:

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

Step-by-step explanation:

Given:

RU = TU

SU ⊥ TR

To find:

ST = ?

Proof:

ΔSTU ↔ ΔSRU

RU ≅ TU (Given)

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

SU ≅ SU (Common)

So, ΔSTU ≅ ΔSRU (SAS Postulate)

Hence:

ST ≅ RS (Corresponding sides of congruent triangles.)

So,

ST = 87 (Given that RS = 87)

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

Hope this helped!

~AH1807

Answer 2

Answer:

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

112