Single correct option
In a right-angled triangle the two sides containing the right angle are 9 cm and 12 cm. The length of the perpendicular from the right-angle vertex to the hypotenuse is
- A. 6 cm
- B. 6.8 cm
- C. 7.2 cm
- D. 7.5 cm
Show answer and solution
Answer: (C) 7.2 cm
Hypotenuse = √(81 + 144) = 15 cm.
Area computed two ways: (1/2)(9)(12) = (1/2)(15)(h) ⇒ h = 108/15 = 7.2 cm.
Tip: In a right triangle, altitude to the hypotenuse = (product of legs)/(hypotenuse).
Area computed two ways: (1/2)(9)(12) = (1/2)(15)(h) ⇒ h = 108/15 = 7.2 cm.
Tip: In a right triangle, altitude to the hypotenuse = (product of legs)/(hypotenuse).
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