OPTIONS
a.)2 and 5
b.)1 and 5
c.)3 and 5
d.)4 and 5
A right triangle has an acute angle measure of 22°. Which two numbers could represent the lengths of the legs of this triangle?
2020-07-23 12:28 am
回答 (7)
2020-07-23 1:05 am
Refer to the right triangle below.
In the right triangle: tan(22°) = a/b
Using a calculator: tan(22°) = 0.4 = 2/5
Hence, a/b = 2/5
a : b = 2 : 5
The answer: a) 2 and 5
In the right triangle: tan(22°) = a/b
Using a calculator: tan(22°) = 0.4 = 2/5
Hence, a/b = 2/5
a : b = 2 : 5
The answer: a) 2 and 5
2020-07-24 1:37 am
tan(22 degrees) is about 0.4, so the ratio of the side opposite the 22-degree angle to the side adjacent to the 22-degree angle is about 0.4, which is 2/5. So a) is the closest.
If this was not multiple choice, I would answer that none of these are exactly right, but a) is closest.
If this was not multiple choice, I would answer that none of these are exactly right, but a) is closest.
2020-07-23 10:04 pm
If x,y be the lengths of the 2 legs, then
x/y=tan(22*)=0.404026225~0.4040=4040/10000=8.08/20~8/20=2/5.
Answer (a)
x/y=tan(22*)=0.404026225~0.4040=4040/10000=8.08/20~8/20=2/5.
Answer (a)
2020-07-23 6:13 am
Math is Hard, but I'm here to help↙
????The correct answer is A.) 2 and 5. (or your first option given above)
????We will use the tangent ratio.
????tanΘ = opposite/adjacent
tan 22° = 2/5
0.404 = 0.40
????Thus the two numbers that represent the lengths of the legs of the right triangle are 2 and 5.
????The correct answer is A.) 2 and 5. (or your first option given above)
????We will use the tangent ratio.
????tanΘ = opposite/adjacent
tan 22° = 2/5
0.404 = 0.40
????Thus the two numbers that represent the lengths of the legs of the right triangle are 2 and 5.
2020-07-23 4:02 am
The 3 angles in the right angled triangle are 90, (90-22), 22 = 90, 68, 22.;
Let hypotenuse be a = BC, opposite A. Other 2 sides are b = AC, opposite B and c = AB, opposite C. Clearly, angles (A,B,C) are (90, 68, 22);
By sine law, a/sinA = b/sinB = c/sinC, ie., a = b/sinB = c/sinC.;
Then (sinB/sinC) = (b/c) = (sin68/sin22) = 2.475086853 approx. = 2.475,;
approx = 2.5 = (5/2).;
So the 2 arms could b 2 & 5.
Let hypotenuse be a = BC, opposite A. Other 2 sides are b = AC, opposite B and c = AB, opposite C. Clearly, angles (A,B,C) are (90, 68, 22);
By sine law, a/sinA = b/sinB = c/sinC, ie., a = b/sinB = c/sinC.;
Then (sinB/sinC) = (b/c) = (sin68/sin22) = 2.475086853 approx. = 2.475,;
approx = 2.5 = (5/2).;
So the 2 arms could b 2 & 5.
2020-07-23 3:49 am
A right triangle has an acute angle measure of 22°.
Which two numbers could represent the lengths of the legs of this triangle?
a.) 2 and 5
Which two numbers could represent the lengths of the legs of this triangle?
a.) 2 and 5
2020-07-23 2:21 pm
Acute angles measure less than 90 degrees. This is to correct one incorrect answer.
The Three Angles of a right triangle always equal 180. 180 - 90 - 22 = 68
So the Three Angles are 90, 22 and 149. It is impossible to solve when only three angles are given. However given your options, only A will work.
The Three Angles of a right triangle always equal 180. 180 - 90 - 22 = 68
So the Three Angles are 90, 22 and 149. It is impossible to solve when only three angles are given. However given your options, only A will work.
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