Question
Find the area of a right triangle with side lengths 12 centimeters, 35 centimeters, and 37 centimeters. Then find the length of the altitude drawn to the hypotenuse.
- Area = 210 square cm, altitude = 11.35 cm
- Area = 420 square cm, altitude = 15.67 cm
- Area = 444 square cm, altitude = 37 cm
- Area = 1295 square cm, altitude = 16.76 cm
The correct answer is: Area = 210 square cm, altitude = 11.35 cm
area = 210 sq cm, altitude = 11.35 cm
We know that the hypotenuse is the longest side of a right-angled triangle. Here, hypotenuse = 37 cm
Hence, height = 35 cm and base = 12 cm.
Area of triangle = 1.2 x base x height = ½ x 12 x 35 = 210 sq cm.
To find the altitude drawn on the hypotenuse, we’ll have to use the hypotenuse as base.
Area of the triangle = 210 sq cm = ½ x hypotenuse x altitude
=> 210= ½ x 37 x altitude
=> 210 x 2 / 37 = altitude
=> altitude = 11.35 cm.
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