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You need a bit more information to solve that one, because it's not clear whether the angle is opposite the leg you know or adjacent to it. If the angle is adjacent to the known leg, then divide the length of the leg by the cosine of the angle. If the angle is opposite the known leg, then divide its length by the sine of the angle.
HA Congruence Theorem says: If the hypotenuse and an acute angle of one right triangle are congruent to the hypotenuse and an acute angle of another right triangle, then the two right triangles are congruent.
The length of the missing leg will be 18 units.
If that's all you know, then you can't. Whatever the length of the hypotenuse is, there arean infinite number of right triangles that all have the same length hypotenuse.In order to define one unique right triangle, you need to know one of the following in addition tothe length of the hypotenuse:-- the length of one leg-- the size of either acute angle
One is the hypotenuse times the sine of one acute angle, the other, the hypotenuse times the sine of the other acute angle (or the cosine of the first).
The hypotenuse angle theorem, also known as the HA theorem, states that 'if the hypotenuse and an acute angle of one right triangle are congruent to the hypotenuse and an acute angle of another right triangle, then the two triangles are congruent.'
The sine function is used in trigonometric calculations when attempting to find missing side lengths of a right triangle. The sine of an angle in a triangle is equal to the length of the side opposite of that angle divided by the length of the hypotenuse of the triangle. Using this fact you can calculate the length of the hypotenuse if you know an angle measure and the length of one leg of the triangle. You can also calculate the length of a leg of the triangle if you know an angle measure and the length of the hypotenuse.
Yes. You will need to use trigonometry. sin (angle) = opposite/hypotenuse cos (angle) = adjacent/hypotenuse tan (angle) = opposite/adjacent
If you know one side (s) and the opposite angle (a) then the hypotenuse = s/sin a...
With only one number, you cannot - unless that one number happens to be the measure of the missing angle!
One other angle or the length of one other side must also be known.
By using trigonometry that is applicable to a right angle triangle.
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1.HyL Theorem (Hypotenuse-Leg) - if the hypotenuse and leg of one triangle is congruent to another triangle's hypotenuse and leg, then the triangles are congruent. 2.HyA (Hypotenuse-Angle) - if the hypotenuse and angle of one triangle is congruent to another triangle's hypotenuse and angle, then the triangles are congruent. 3.LL (Leg-Leg) if the 2 legs of one triangle is congruent to another triangle's 2 legs, then the triangles are congruent. 4.LA (Leg-Angle) if the angle and leg of one triangle is congruent to another triangle's angle and leg, then the triangles are congruent.
When considering an angle in a right angled triangle, the adjacent is the short side next to the angle and the hypotenuse is the long one (which will be opposite the right angle)
By definition, the hypotenuse is the side opposite the right angle in a right angled triangle. Therefore, a hypotenuse does not exist as one of the three sides in a non-right angled triangle.