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.
"Hypotenuse-leg" is not necessarily the right-triangle version of "side-angle-side". It's the right-triangle version of "side-side-side", because if you know that it's a right triangle, and you know the hypotenuse and a leg, then you can calculate the length of the other leg. If you want to work with "side-angle-side", and you know the hypotenuse and a leg, then you can find the angle between them, because it's the angle whose cosine is (the known leg) divided by (the hypotenuse), and you can look it up.
If it's a right angle triangle and an acute angle plus the length of a leg is given then use trigonometry to find the hypotenuse.
To solve a 30-60-90 triangle, you need to know the length of one side. The hypotenuse is twice as long as the shortest leg (the side opposite the 30 angle) The longer leg (opposite the 60 angle) is the length of the shorter leg times the square root of 3. So in summary: If you know the hypotenuse, divide it by 2 to find the shorter leg, and multiply that times the square root of 3 to find the longer leg. If you know the longer leg, divide it by the square root of 3 to find the shorter leg, then multiply that by 2 to find the hypotenuse. If you know the shorter leg, multiply it by 2 to find the hypotenuse. Multiply the shorter leg length by the square root of 3 to find the longer leg.
The square of the hypotenuse minus the square of the leg you know will give you the square of the unknown leg.
It is the hypotenuse
"Hypotenuse-leg" is not necessarily the right-triangle version of "side-angle-side". It's the right-triangle version of "side-side-side", because if you know that it's a right triangle, and you know the hypotenuse and a leg, then you can calculate the length of the other leg. If you want to work with "side-angle-side", and you know the hypotenuse and a leg, then you can find the angle between them, because it's the angle whose cosine is (the known leg) divided by (the hypotenuse), and you can look it up.
If it's a right angle triangle and an acute angle plus the length of a leg is given then use trigonometry to find the hypotenuse.
By using trigonometry that is applicable to a right angle triangle.
To solve a 30-60-90 triangle, you need to know the length of one side. The hypotenuse is twice as long as the shortest leg (the side opposite the 30 angle) The longer leg (opposite the 60 angle) is the length of the shorter leg times the square root of 3. So in summary: If you know the hypotenuse, divide it by 2 to find the shorter leg, and multiply that times the square root of 3 to find the longer leg. If you know the longer leg, divide it by the square root of 3 to find the shorter leg, then multiply that by 2 to find the hypotenuse. If you know the shorter leg, multiply it by 2 to find the hypotenuse. Multiply the shorter leg length by the square root of 3 to find the longer leg.
Sin= Opposite leg/Hypotenuse Cos= Adjacent leg/ Hypotenuse Tan=Adjacent leg/ Opposite leg
The hypotenuse leg of a right angle triangle is its longest side.
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.
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.
four types aressssasrhsasa1.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.
Sine(Sin) Cosine(Cos) Tangent(Tan) ---- -Sin of angle A=opposite leg of angle A / hypotenuse -Cos of angle A= Adjacent leg of angle A / Hypotenuse -Tan of angle A= opposite leg of angle A / Adjacent lef of angle A
The square of the hypotenuse minus the square of the leg you know will give you the square of the unknown leg.
Use tangent to find the other leg, and the sine or cosine to find the hypotenuse.