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Why does the acute angles in an isosceles right triangle always measures 45 degrees?
Wiki User
∙ 14y ago
The question lists three facts: "triangle", "right", and "isosceles".
Each fact carries important information.
-- "triangle" ... The three angles in any triangle always add up to 180 degrees
-- "right" ... One angle in a right triangle must be a right angle = 90 degrees.
That leaves the other 90 degrees for the other two angles to share.
-- "isosceles" ... Two of the angles in an isosceles triangle are equal. If there are
90 degrees to share between them, then each of them is 45 degrees.
Wiki User
∙ 14y ago
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What is the measure of the vertex angle of an isosceles triangle if one of its base angles measures 42?
If you are dealing with an isosceles triangle, if one of the base angles measures 42 degrees then the other base angle measures 42 degrees. (By definitioin an isosceles triangle has at least 2 equal sides and the angle opposite those sides with be equal.) If you add up the degrees in each angle within a triangle, it will always equal 180 degrees. Knowing all this you can set up a formula: Angle 1 + Angle 2 + Angle 3 = 180 42 + 42 + Angle 3 = 180 Angle 3 = 96 degrees
How many degrees does a isosceles triangle have?
all triangles have 180 degrees even isosceles
Is an acute right angle is always never or sometimes an isosceles triangle?
SOMETIMES. It could be 60 degrees, 60 degrees, and 60 degrees which is an equilateral triangle and also an acute triangle. It can ALSO be isosceles. 50 degrees, 50 degrees, and 80 degrees. And of course it could be scalene.
What are the angles of a right isosceles triangle?
The two other angles are 45 degrees each. The three angles of every triangle always add up to 180 degrees. -- A right triangle is a triangle that has a right angle in it. -- A right angle is 90 degrees. -- That leaves 90 degrees for the other two angles in the right triangle. -- If it happens to be isosceles, then the other two angles are equal. -- Those must both be 45 degrees.
An equilateral triangle is always an isosceles triangle?
Yes.
If the measures of two angles of an isosceles triangle are 54 degrees and 63 degrees what is measure of the third angle?
The total internal angles of a triangle always equal 180 degrees. Therefore, the third angle of this triangle must be 180 - 54 - 63 = 63. Since this value is the same as one of the stated sides, the triangle is indeed isosceles.
What is the measure of the vertex angle of an isosceles triangle if one of its base angles measures 42?
If you are dealing with an isosceles triangle, if one of the base angles measures 42 degrees then the other base angle measures 42 degrees. (By definitioin an isosceles triangle has at least 2 equal sides and the angle opposite those sides with be equal.) If you add up the degrees in each angle within a triangle, it will always equal 180 degrees. Knowing all this you can set up a formula: Angle 1 + Angle 2 + Angle 3 = 180 42 + 42 + Angle 3 = 180 Angle 3 = 96 degrees
How many degrees does a isosceles triangle have?
all triangles have 180 degrees even isosceles
What is an isosceles triangle measure up to?
In all triangles, the angles always measure up 180 degrees. In an isosceles triangle two of the angles are equal.
How many degrees is a acute isosceles?
Answer: 180 degrees. Explanation: The three angles of a triangle, regardless of type of triangle, always sum to 180 degrees.
What angles does an isosceles triangle have?
-- In any triangle, the three inside angles always add up to 180 degrees. -- In an isosceles triangle, two of the three inside angles are equal.
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.
The total of the angle measures of a----------- is always 180 degrees?
triangle
How many degrees are in a right isosceles triangle?
The three angles inside EVERY triangle ALWAYS add up to 180 degrees.In an isosceles right triangle, the angles are 45°, 45°, and 90°.
What is the vertex angle of isosceles right triangle?
An isosceles triangle has two equal sides, and if one of the angles is 90 degrees, than the other two have to be equal. A triangle's angles always add up to 180 degrees, so the other two have to be 45 degrees.
How many degrees do an isosceles triangle have?
The TOTAL of the three corners in EVERY triangle is ALWAYS 1800Two corners of an isosceles triangle have the same value and need to be smaller than 900because:(>00) + 2*(
A scalene triangle is how many degrees?
For any triangle, be it 'Scalene, Equilateral, Isosceles, Right-angled', the sum of the interiod angles is ALWAYS 180 degrees.
