Answer:
Step-by-step explanation:
Triangle ABC is a right angle triangle.
From the given right angle triangle
AB represents the hypotenuse of the right angle triangle.
With m∠A as the reference angle,
AC represents the adjacent side of the right angle triangle.
BC represents the opposite side of the right angle triangle.
To determine AB, we would apply the Cosine trigonometric ratio
Cos θ = opposite side/hypotenuse. Therefore,
Cos 52 = 10/AB
0.616 = 10/AB
AB = 10/0.616
AB = 16.23
Check the picture below.
recall the ambiguous SSA case, as the "12" side moves, it ends up with two supplementary angles on the base.
Answer:
15 blocks
Step-by-step explanation:
We can use the Pythagorean theorem to solve the right triangle
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
12^2 + 9^2 = h^2
144+81 = h^2
225= h^2
Taking the square root of each side
sqrt(225) = sqrt(h^2)
15 = h
With one point of the compass on the vertex of the angle, draw an arc that intersects both sides of the angle. Draw an arc from each of these points of intersection so that the arcs intersect<span> in the interior of the angle. The compass needs to </span>stay open<span> the same amount throughout this step.
I hoped that help..have a great day:)
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Answer:
The length of side <em>b</em> is 9.
Step-by-step explanation:
Triangles are similar if they have the same shape, but can be different sizes.
When two figures are similar, the ratios of the lengths of their corresponding sides are equal.
If you know that two objects are similar, you can use proportions and cross products to find the length of an unknown side. We know that the triangle
is similar to the triangle
. Therefore the following relation must be true:

We know that side
is equal to 8, side
is equal to <em>b, </em>side
is equal to
, and side
is equal to 3.
Substituting these values into the above relation and solving for <em>b</em> we get that:
