If one of the legs of a right triangle is 4 in and the hypotenuse is 8 in, find the length of the other leg (use a calculator if necessary). Can you guess the measures of the acute angles?
But what are the angle deggrees (not including the 90 degrees)?
In the little geometric tool boxes they used to sell, there were always two right-angled triangles, usually made of plastic.
One had the 45°-45°-90° configuration, the other had the 30-60-90° angles.
I noticed that in the latter, the hypotenuse was exactly twice the length of one of the other sides.
Look at your given dimensions and take a guess.
But, it says the answer is wrong.
What answer is wrong?
Sry if I answered 1 year late
Lol
How did Mrs. Mrs get the answer?
To find the length of the other leg of a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
Let's denote the length of the other leg as "x". According to the Pythagorean theorem, we have:
x^2 + 4^2 = 8^2
Simplifying the equation:
x^2 + 16 = 64
Subtracting 16 from both sides:
x^2 = 48
To find the value of "x", we can take the square root of both sides:
√(x^2) = √48
x ≈ √48
Using a calculator, we find that √48 is approximately 6.93.
Therefore, the length of the other leg is approximately 6.93 inches.
To find the measures of the acute angles in the right triangle, we can use trigonometric functions. The sine function can help us determine one of the acute angles (θ), where:
sin(θ) = length of the opposite side (4 in) / length of the hypotenuse (8 in)
sin(θ) = 4/8
sin(θ) = 0.5
Taking the inverse sine (sin^(-1)) of both sides to find θ:
θ = sin^(-1)(0.5)
Using a calculator, we find that θ ≈ 30 degrees.
Since the sum of the measures of the angles in any triangle is 180 degrees, the other acute angle is 90 degrees (the right angle) minus 30 degrees, which equals 60 degrees.
Therefore, the measures of the acute angles in the right triangle are approximately 30 degrees and 60 degrees.
Didn't you understand the answer I posted for you yesterday?
http://www.jiskha.com/display.cgi?id=1495303837
The question asks YOU to guess.
The answer would be square root 48
And the degrees are 60 and 30
I garuntee this is correct