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  3. What is the hypotenuse of a right triangle with a base of 9 cm and an area of 54

What is the hypotenuse of a right triangle with a base of 9 cm and an area of 54

游客2024-01-12  56
问题 What is the hypotenuse of a right triangle with a base of 9 cm and an area of 54 cm2?
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答案  The area of a triangle and the length of one of the legs of a right triangle are given. However, you need the length of both legs to use the Pythagorean theorem to determine the hypotenuse. Since you have the area, start there. For a triangle,[*]. You are given the base and area, so solve for the height:
[*]
   Now you know the lengths of the two legs of the right triangle and can use the Pythagorean theorem (a2+b2=c2) to determine the hypotenuse:
   92+122=c2
   81+144=c2
      225=c2
       15=c.
   The hypotenuse is 15 cm.
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