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Find the tan of the base angle of an isosceles triangle if the equal sides are 82cm long and the other side is 36cm long?
An isosceles triangle can be considered as being two right angled triangles joined together and if we divide the base by 2 this gives us two adjacent sides of 18cm. By rearranging Pythagoras' Theorem we can calculate that the opposite side or perpendicular height of the triangle is 80cm: Pythagoras' Theorem: 822-182 = 6400. The square root 6400 is 80. Tangent = opposite/adjacent 77.31961651o = 80/18 Alternatively the Cosine ratio can be used: Cosine = adjacent/hypotenuse 77.31961651o = 18/82 Or even the Sine ratio: Sine = opposite/hypotenuse 77.31951616o = 80/82 Therefore the isosceles triangle has two equal base angles of 77.32 degrees correct to two decimal places.
What else can I help you with?
Is a acute triangle an isosceles?
If it has 2 equal acute angles and 1 obtuse angle then it is an isosceles triangle.
What is the one right angle and no equal sides?
The dimensions of any right angle triangle other than an isosceles right triangle which has two equal sides.
What is a isosceles right triangle?
In an isosceles right angled triangle,1 angle is 90 degrees and the other two are equal ,each is 45 degrees
What is an isosoceles triangle?
An isosceles triangle is a triangle with two equal sides and two equal angles. The two equal sides are called the legs, and the angle between them is called the vertex angle. The two other angles in an isosceles triangle are equal and are called the base angles.
What is a base angle of an isosceles triangle?
The base angles of an isosceles triangle are the two angles that are equal to each other. They can be between 89.999...o and 0.000000..01o.
What is the triangle that is an angle of 120 degrees?
If the other two angles are equal then it's an isosceles triangle if they are not equal then it's an obtuse triangle.
Is a acute triangle an isosceles?
If it has 2 equal acute angles and 1 obtuse angle then it is an isosceles triangle.
What is a type of triangle that has one obtuse angle?
If the other 2 angles are equal then it is an isosceles triangle if not then it is a scalene triangle
What is the one right angle and no equal sides?
The dimensions of any right angle triangle other than an isosceles right triangle which has two equal sides.
An isosceles right triangle must have an angle that measures what?
An isosceles right triangle has an angle of 900 and two sides of equal length and two equal angles. Therefore other two angles must be 450.
What is a isosceles right triangle?
In an isosceles right angled triangle,1 angle is 90 degrees and the other two are equal ,each is 45 degrees
What is an isosoceles triangle?
An isosceles triangle is a triangle with two equal sides and two equal angles. The two equal sides are called the legs, and the angle between them is called the vertex angle. The two other angles in an isosceles triangle are equal and are called the base angles.
What is a base angle of an isosceles triangle?
The base angles of an isosceles triangle are the two angles that are equal to each other. They can be between 89.999...o and 0.000000..01o.
An isosceles triangle has 1 angle equal to 90 degrees what are the other two angles?
An isosceles triangle has two equal angles. All the angles of a triangle add up to 180º There can not be another angle with 90º as that would mean the last angle was 0º, so the other two angles must be 45º each.
What are the angle measurements for an isosceles right triangle?
An isosceles triangle has two sides and angles that are equal, causing it to have exactly a line of symmetry through it. A right triangle has one angle that is 90 degrees. An isosceles right triangle will always have one angle that is 90 degrees, while the other two angles will be 45 degrees.
What right triangle has legs of equal length?
A right-angled triangle can be an Isosceles Triangle, but NOT an equilateral triangle. An Isosceles triangle has two sides of equal length. They form the 90 degree (right angle). The hypotenuse is opposite the right angle, and is longer than the other two sides.
What is the name of a triangle with two equal sides?
It is an isosceles triangle -- of necessity there are two identical and mirrored angles.If the third side is also equal, it is an equilateral triangle.If there is also a right angle, the other two angles are 45 degrees and it is an isosceles right triangle.
