20^2-12^2=x^2
400-144=x^2
256=x^2
x=16
Drop a perpendicular from an obtuse vertex.
That makes a 30 - 60º right triangle, with
hypotenuse 6 and short leg 3. So the long leg,
which is the height of the rhombus, is 3√3 .
Since a rhombus is a parallelogram, its area
is base x height = 6 x 3√3 = 18√3 .
The options are:
A) exactly one triangle;
B) no triangles;
<span>C) more than one triangle.</span>
First thing, let's see if these angles can make a triangle:
(81 + 52 + 47) = 180
We know that the sum of the inner angles of a triangle must equal 180°, therefore yes, they can be angles of a triangle.
With only the measure of the angles and nothing about the sides, we can construct as many triangles as we want: try, indeed, to construct a triangle with given angles bus sides of your choice; then, double the sides. You will get a triangle that is twice the size, but the angles remained the same.
Hence, the correct answer is C) more than one triangle.
x=84
Add up all the sides and then subtract that number by the original amount of degrees. 540
37.7 cause 12 times 3.14 = 37.68
