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You can't.

In order to definitely find the missing parts of a triangle, you need:

-- two sides and the angle between them
OR
-- two angles and the side between them
OR
-- all three sides.

Any less than that, and you can't find the rest of the parts.

You can find parts that COULD complete the triangle, but there will be other possibilities,
and there's no way to say for sure which set is the correct one.

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Q: If you have 1 angle of a triangle and 1 side how do you find the rest of the angles and sides?
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How do you find the two shorter sides of a triangle when all you know if the hypotenuse and nothing else?

If it has an hypotenuse then it is a right angle triangle and if you know its angles then use trigonometry to find its other two sides.


How do you find all the angles of a triangle with only one angle available?

it is impossible to do because you need at least 2 angles to tell the other one All unknown sides and angles of a triangle can be found only when one side and two angles, two sides and the included angle, two sides and an angle opposite one of them, or three sides are given. All you will know is that the sum of the other two angels is 180 - (value of known angle).


How do you construct an isosceles triangle when base and angle at the vertex is given?

First find 180 minus the vertex angle and divide that by 2 to get the other angles. Then solve the other sides by using sin(vertex angle)/base=sin(other angles)/other sides.


How do you find side of scalene triangle given a length and an angle?

You don't. It takes more than one side and one angle to determine a triangle. If you have two sides and the angle between them, or one side and two angles, you can do it.


How do you find the lengths of the legs of an isoceles triangle when given the angle?

With only the angle provided, you cannot find the lengths of the sides. The reason for this is that the isosceles triangle can be scaled up or down. If you had an isosceles triangle with a vertex of, say, 20 degrees, the other two angles would be 80 degrees each. This triangle could be constructed with the pair of congruent sides 10 centimeters long, 10 feet long, 10 miles long, or any length, and it would still have the same angles in its construction. Angles alone are insufficient to discover the length of the sides of an isosceles triangle.

Related questions

How do you find the side length on a triangle with one angle given?

To find side lengths on a triangle, you need to know at least one of the sides. The possible combinations for solving* a triangle are: side, side, side; side, angle, side; angle, side, angle; angle, side, longer side. *To solve a triangle is to find the lengths of all the sides and the measures of all the angles.


You have 3 sides of an isosceles triangle how do you work out the top angle?

In an isosceles triangle, the two angles at the bottom are equal. Subtract the sum of the two bottom angles from 180 to find how many degrees are in the top angle.


How do you find the two shorter sides of a triangle when all you know if the hypotenuse and nothing else?

If it has an hypotenuse then it is a right angle triangle and if you know its angles then use trigonometry to find its other two sides.


How do you find all the angles of a triangle with only one angle available?

it is impossible to do because you need at least 2 angles to tell the other one All unknown sides and angles of a triangle can be found only when one side and two angles, two sides and the included angle, two sides and an angle opposite one of them, or three sides are given. All you will know is that the sum of the other two angels is 180 - (value of known angle).


How do you find angles on a right triangle?

You do not need to, if you have a right triangle that angle is 90* so the other 2 angles are 45* apiece. That is actually only partially accurate. There can be a right angled triangle with sides of 2-3-5. 5 being the hypotenuse in which the triangle's angles will not be 90-45-45 but 90-33.69-56.31. To find the angles of a right triangle, you will need to know the length of the sides. With the length of all three sides, you will need to utilize sine, cosine, and tangent to find the angles.


Ratio of the angles in a triangle?

if the angle of a triangle are in the ratio 7:11:18,find the angle


How do you construct an isosceles triangle when base and angle at the vertex is given?

First find 180 minus the vertex angle and divide that by 2 to get the other angles. Then solve the other sides by using sin(vertex angle)/base=sin(other angles)/other sides.


How do you find side of scalene triangle given a length and an angle?

You don't. It takes more than one side and one angle to determine a triangle. If you have two sides and the angle between them, or one side and two angles, you can do it.


How do you find an angle measurement of a triangle?

The answer depends on what information you have, If you know only the lengths of the sides, you use the cosine rule to find the measure of one angle and then the sine rule to find the other angles.


If the vertex angle of an isosceles triangle has a measure of 108 what is the base angle?

In an isosceles triangle two of the sides are equal, as well as two of the angles. Because a triangle's interior angles add up to 180, only one angle could be 108, therefore the other two angle must be equal. To find the measure of the other two angles 180 - 108 = 72/2 = 36.


How do you find perimeter of triangle whose two sides are given and also angles are not given?

One can't. The angle between those is needed.


How do you find the angle measures of a trapezoid?

A trapezoid is a 4-sided shape, therefore the sum of the angles adds to 360 degrees. if you continue the lines until they touch you have a triangle, whose angles sum to 180 degrees. using the law of sines, the ratio of length of a side to the sine of the angle opposite of a triangle is consistent for all three sides. using the law of cosines you are able to find the angle between any two lengths of a triangle. use these two laws to find the bottom two angles which form the base of the triangle. the remaining two angles can be found by finding the angles in the triangle that sits on top of the trapezoid, and determining their compliment angle 180 - angle = compliment angle