I assume it is a right triangle.
Area = 48 = 1/2 hb
96 = hb
Set one variable as multiple of 2 and see if the same multiple of 3 will multiply to = 96.
Pythagorean theorem:
8^2 + 12^2 = Hyp^2
64 + 144 = 208 = Hyp^2
√208 does not match any of your choices.
14 < √208 < 15.
Do you have any typos? Did you omit the square root symbol from the last choice?
The area of a triangle whose legs are in the ratio of 2:3 is 48. The length of the hypotenuse is
a. square root 13
b. 8
c. 2 square root 52
d. 12
e. 208
please answer and explain
5 answers
that is my homewrok, i didn't omit the square root symbol from the last choice
e. 208
or, look at it as a scaling problem.
In a right triangle with legs 2 and 3, the hypotenuse is √13, and the area is (1/2)(2)(3) = 3.
Your triangle has a an of 48, which is 16*3
Since the area scales as the square of the scale factor, the hypotenuse is 4*√13 = 2√52
In a right triangle with legs 2 and 3, the hypotenuse is √13, and the area is (1/2)(2)(3) = 3.
Your triangle has a an of 48, which is 16*3
Since the area scales as the square of the scale factor, the hypotenuse is 4*√13 = 2√52
thank you