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What is the measure of the vertex angle of an isosceles triangle if one of its base angles measures 70 degrees and its congruent sides each measure 15 cm?
When finding the angles, the length of the sides is irrelevant in this case.
Let the triangle be ABC with ∠A the vertex and BC the base; the real question is whether you have the isosceles triangle "drawn" and labelled with the equal sides:
- either side of the "vertex" making the equal angles ∠B and ∠C
vertex_angle = 180o - 2 x 70o
= 40o
- the base and one side to the vertex equal (say sides AB and BC) and the other side different (AC) making the equal angles ∠A and ∠C
- 70o angle is between the sides of equal length (∠B):
vertex_angle = (180o - 70o) ÷ 2
= 55o
- 70o angle is between the odd side and the base (∠C):
Isosceles triangles are often drawn in the first case, but it is not necessarily so!
What else can I help you with?
If An isosceles right triangle is a triangle with an angle measuring ninety degrees and no two sides congruent?
No. An isosceles right triangle has the measures of 90, 45, and 45. Isosceles means that two sides are congruent. Hope this helps :)
What is the measure of the base angle of an isosceles triangle if the vertex measures 38 degrees?
(180 - 38)/2 = 71 degrees (base angles of an isosceles triangle are congruent).
What type of triangle has two congruent sides and two measures that make 45 degrees?
Isosceles right angled triangle, as the remaining angle must be 90o.
If one angle of an isosceles triangle measures 60 degrees then the triangle is equilateral?
yes
What are the measures of the base angles of a right isosceles triangle?
45 degrees.
If An isosceles right triangle is a triangle with an angle measuring ninety degrees and no two sides congruent?
No. An isosceles right triangle has the measures of 90, 45, and 45. Isosceles means that two sides are congruent. Hope this helps :)
What is the measure of the base angle of an isosceles triangle if the vertex measures 38 degrees?
(180 - 38)/2 = 71 degrees (base angles of an isosceles triangle are congruent).
A triangle with two congruent sides and an angle of 104 degrees is?
A triangle with two congruent sides is isosceles. A triangle with an angle of 104 degrees is obtuse. So you would have an obtuse isosceles triangle.
What type of triangle has two congruent sides and two measures that make 45 degrees?
Isosceles right angled triangle, as the remaining angle must be 90o.
What is a triangle having an angle measuring 110 degree and two congruent sides?
It is an isosceles triangle and its other two angles each measures 35 degrees
What triangle has at least two congruent sides?
Isosceles Triangle Isosceles TriangleIsosceles triangles have at least 2 congruent sides, and equilateral triangles have all 3 sides equal. A scalene triangle has no congruent sides or angles. All triangles have 180 degrees total.An equilateral triangle has three congruent sides and an isosceles triangle has two congruent sides.
What type of triangle has an angle that measures 120 degrees and an angle that measures thirty degrees for kids?
It is an obtuse angled isosceles triangle.It is an obtuse angled isosceles triangle.It is an obtuse angled isosceles triangle.It is an obtuse angled isosceles triangle.
An isosceles triangle that is not an equilateral triangle?
It is possible if neither of the angles in the triangle measures to 60 degrees
If one angle of an isosceles triangle measures 60 degrees then the triangle is equilateral?
yes
Is a right triangle can be isosceles?
Yes. Only if the other two angles of the right triangle are congruent and each equal 45 degrees. Then using the isosceles triangle theorem, you know that the two sides opposite the angles are congruent.
What are the measures of the base angles of a right isosceles triangle?
45 degrees.
One angle of an isosceles triangle measures 56 degrees what are the measures of the other two angle?
62 degrees
