The height PO is drawn in the triangle APK. Find PK AP – 28 cm. AO – 8 cm. OK – 30 cm.
| July 1, 2021 | education
In the right-angled triangle AOP we find the leg PО:
PO = √ (AP² – AO²) = √ (784 – 64) = √720 = 12√5 (cm).
In a right-angled triangle PОК, we find the hypotenuse PК:
PK = √ (PO² + OK²) = √ (720 + 900) = √1620 = 18√5 (cm).
Answer: PK = 18√5 cm.
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