Find the area of the given triangle
The hypotenuse of right triangle is
1
1
4
1
and one leg is
9
. Find it's area. Give your answer as a decimal number.
The answer is 30.375.
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2 solutions
Yeah, I scaled it by a factor of 4 9 , but it is hard to know because the first step is to find the length of the other leg . . . .
When i was doing calculations in my head i saw 9 = 4 3 6 and 1 1 4 1 = 4 4 5 . And thus 27-36-45 is 3-4-5
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I think this hard to calculate mentally because there are fractions involve and a normal person will use a calculator or pen and paper. So I think you are good.
Relevant wiki: Pythagorean Theorem
By pythagorean theorem, the other leg is 1 1 . 2 5 2 − 9 2 = 6 . 7 5 . So the area is 2 1 × 9 × 6 . 7 5 = 3 0 . 3 7 5
3-4-5 triangle scaled by factor 4 9