Answer:
21 ways
Step-by-step explanation:
a, b, c, d, e, f, g, linda
1 2 linda
a__ b__ __
a__c __ __
a__d __ __
a__ e__ __
a__ f__ __
a__ g__ __
b__c __ __
b__d __ __
b__ e__ __
b__ f__ __
b__ g__ __
c__d __ __
c__ e__ __
c__ f__ __
c__ g__ __
d__ e__ __
d__ f__ __
d__ g__ __
e__ f__ __
e__ g__ __
f__ g__ __
count them
in total
there are
21 triples
Your triangle has acute angles X and Y, and right angle Z.
For an acute angle A in a right triangle:
The sine is the ratio of the opposite leg to the hypotenuse.
sin A = opp/hyp
The cosine is the ratio of the adjacent leg to the hypotenuse.
cos A = adj/opp
The hypotenuse of a right triangle is the side opposite the right angle. It is the longest side of a right triangle. There is only one hypotenuse in a triangle, so there is no confusion with the hypotenuse.
The two sides that form the right angle are called the legs. Each leg is opposite an acute angle. The legs may or may not be congruent to each other, but each leg is always shorter than the hypotenuse. Since there are two legs, we need to be able to distinguish them. If you take an acute angle as your angle of interest, the leg that is part of the angle is called the adjacent leg. The other leg is the opposite leg. Adjacent leg and opposite leg are relative terms. They depend on the acute angle you are considering.
For your triangle, if you look at angle X, then the adjacent leg is side XZ. The opposite leg for angle X is side YZ.
Using the ratios mentioned above for sine and cosine, you get:
sin X = opp/hyp = sqrt(119)/12
cos X = adj/hyp = 5/12
By setting up proportions and cross multiplying, the height would be 990.8.
7/8 is ur answer because
it can be cut into smaller parts
