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Sladkaya [172]
4 years ago
8

In ​ kite PQRS ​, TQ=5 cm and TR=12 cm. What is SR ? Enter your answer in the box.

Mathematics
1 answer:
ozzi4 years ago
3 0
The square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides.
You can use Pythagoras' Theorem to calculate QR:
a^2 + b^2 = c^2
5^2 + 12^2 = QR^2
25 + 144 = QR^2
169 = QR^2
This means that the square root of 169cm is QR, which is 13cm.

SR is equal to QR, which means that SR is 13cm.
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Please explain step-by-step. If you don't explain, don't even bother answering.
Andre45 [30]

Answer:

<u>45°</u>

Step-by-step explanation:

From the diagram :

  • ∠AOC = ∠AOB + ∠BOC
  • 96 = 9x - 75 + 8x - 67
  • 17x - 142 = 96
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  • x = 14

Finding ∠BOC :

  • ∠BOC = 8x - 67
  • ∠BOC = 8(14) - 67
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