Can anyone teach plsssss........................ Given that PR= 17cm and SR= 6cm.Find the length, in cm of TS.
1 answer:
Answer:
9cm
Step-by-step explanation:
Since PQST is a rectangle, ∠QST=∠QSR=∠90º. So triangle QSR is a right triangle. 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. Now we know that QS=PT=8. 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. We know that TR=15 and SR=6 and TR-SR=TS, so 15-6=9.
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