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How do you find out the top angle of an Isosceles triangle if you do not know the base angle?
Wiki User
∙ 14y ago
It depends on whether you know the lengths of all three sides (either explicitly or otherwise). If you don't know the lengths of the sides you cannot find the top angle.
If you do know the sides you can apply the cosine rule:
cos(A) = (b2 +c2 - a2)/2bc and then use the inverse cosine function to determine A.
Wiki User
∙ 14y ago
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How do you find the perimeter of an isosceles triangle when you only have one side and the base?
If you mean "isosceles" triangle, the perimeter is the sum of twice the known side plus the base.
A base angle of an isosceles triangle is 9 degrees more than the vertex angle Find the vertex angle?
let the vertex angle be x degrees, then the base angle is x + 9 degrees. Since in a triangle the sum of the angle is 180 degrees, and the base angles in an isosceles triangle are congruent, we have: x + 2(x + 9) = 180 x + 2x + 18 = 180 3x + 18 = 180 subtract 18 to both sides 3x = 162 divide by 3 to both sides x = 54 Thus the vertex angle is 54 degrees.
The measure of the vertex angle of an isosceles triangle is 15 degrees more than the measure of each base angle. Find the number of degrees in each angle of the triangle.?
Let x be the measure of the base angle in degrees, so the measure of the vertex angle in degrees it will be x + 15. Since the triangle is an isosceles triangle, where the base angles are congruent, we can form the equation: 2x + (x + 15) = 180 3x + 15 = 180 subtract 15 to both sides; 3x = 165 divide by 3 to both sides; x = 55 x + 15 = 55 + 15 = 70 Thus, each base angle is 55° and the vertex angle is 70°.
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.
If the largest angle of an isosceles triangle measures 106 find the measure of the smallest angle?
The smallest angle would be = 38 degrees. Proof: Base angles of an isosceles triangle must equ All angles of the triangle must add up to 180 degress considering that the known angle is not under 89 degrees the other two must equal, yet both add up to 76 degrees.
The equal angles of an isosceles triangle?
To find the equal angels, base angles, of an isosceles triangle and you know the vertex angle, 180-vertex angle and then divide by two.
An exterior angle at the base of an isosceles triangle measures 110 find the measure of the vertex angle?
40
The vertex angle of an isosceles triangle is twice as large as one of the base angles Find the measure of the vertex angle?
90 degrees. This is an isosceles right triangle, standing on its hypotenuse.
An exterior angle at the base of an isosceles triangle measures 130 find the measure of the vertex angle?
80 degrees.
A base angle of an isosceles triangle is 6 degrees more than the vertex angle. Find the vertex angle?
56 degrees
In an isosceles triangle one base angle equals 73 find the size of the vertex angle?
jaj no se kompas jaj
How do you find the maximum possible area of an Isosceles triangle with the Height of 20m. The angle of the equal angles can vary but must be no more then 35 degrees.?
An isosceles triangle can be split up into two right angle triangles so use trigonometry to find the base and then double your answer to find the base of the isosceles triangle which works out as 57.12592026 meters. Base = 20/tan(35) = 28.56296013 Base of isosceles = 28.56296013*2 = 57.12592026 Area = 1/2*base*height Area = 1/2*57.12592026*20 = 571.2592026 square meters
How do you find the base and height of an isosceles triangle?
An isosceles triangle has 2 equal base angles and its height is perpendicular from its apex to the centre of its base
What is the circumradius of an isosceles triangle?
To find the circumradius of an isosceles triangle, the formula is:1/8[(a^2/h)+4h]in which h is the height of the triangle and a is the base of the triangle.
What is the angle measure for a triangle?
The angle measure of a triangle is dependent on the type of triangle (scalene, right, isosceles, or equilateral) and also the measures of the other two angles.In a scalene, none of the angles can be predicted without a protractor because none of the angles are equal.In a right triangle only one angle can be undoubtedly determined, the 90° angle (right angle). Knowing this angle's measure, this only limits the possible angle measures of the other two angles. (They must each be less than 90°, but together sum up to 90°)If you know one of the base angles of an isosceles triangle, by the Isosceles Triangle Base Angles Theorem, the other base angle will be congruent. To find the last angle, add the base angles together and then subtract that number from 180.The only triangle that has angle measures that can be determined just by its name is an equilateral, all angle measures equal 60°.
How do you find the perimeter of an isosceles triangle when you only have one side and the base?
If you mean "isosceles" triangle, the perimeter is the sum of twice the known side plus the base.
A base angle of an isosceles triangle is 9 degrees more than the vertex angle Find the vertex angle?
let the vertex angle be x degrees, then the base angle is x + 9 degrees. Since in a triangle the sum of the angle is 180 degrees, and the base angles in an isosceles triangle are congruent, we have: x + 2(x + 9) = 180 x + 2x + 18 = 180 3x + 18 = 180 subtract 18 to both sides 3x = 162 divide by 3 to both sides x = 54 Thus the vertex angle is 54 degrees.
