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Otrada [13]
4 years ago
13

Explain when the congruent complements theorem would be appropriate to use in a proof.

Mathematics
1 answer:
Natasha2012 [34]4 years ago
7 0
<span>The congruent complements theorem 2 <span> angles are complements of the same angle (or of congruent angles), then the two angles are congruent.</span></span>
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Can anyone teach plsssss........................ Given that PR= 17cm and SR= 6cm.Find the length, in cm of TS. ​
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9cm

Step-by-step explanation:

  1. Since PQST is a rectangle, ∠QST=∠QSR=∠90º. So triangle QSR is a right triangle.
  2. By the Pythagorean Theorem and that SR=6 and QR=10, we can say that 6^2+b^2=10^2. So, 36+b^2=100. And b^2=64 and b=8. So QS=8.
  3. Now we know that QS=PT=8.
  4. By the Pythagorean Theorem and that PR=17 and PT=8, we can say a^2+8^2=17^2. So, a^2+64=289. And a^2=225 and a=15.
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