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What are the dimensions and interior angles of an isosceles triangle whose perpendicular height is 8 cm and has an area of 48 sq cm?
Wiki User
∙ 13y ago
1/2*base*8 = 48
Multiply both sides by 2 and then divide both sides by 8:
Base = 12 cm
An isosceles triangle is made from two right angle triangles. So use Pythagoras' theorem to find the hypotenuse which will be one of the isosceles equal sides:
82+62 = 100 and the square root of this is 10
Use the tangent ratio to find the base angle:
tan = opp/adj => tan = 8/6 = 53.13010235 or 53 degrees to the nearest degree
Therefore:
The isosceles triangle has two equal sides of 10 cm and a base of 12 cm. It has two equal base angles of 53 degrees and a vertex angle of 74 degrees.
Wiki User
∙ 13y ago
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How many pairs of perpendicular lines does an isosceles triangle have?
There can be only one pair of perpendicular lines in an isosceles triangle when it is a right angled isosceles triangle. A non right angled isosceles triangle has no pairs of perpendicular lines.
How many perpendicular lines does an isosceles triangle have?
If it is a 45° 45° 90° isosceles right triangle, then there are 2 sides that are perpendicular.
Is a perpendicular bisector always an angle bisector?
thank goodness for my math teacher, norm! he said only in an isosceles triangle. The bisector of the vertex angle of an isosceles triangle is perpendicular to the base! =)
What is the total angle measure of isosceles triangle?
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Are the diagonals of an isosceles triangle perpendicular?
There are no 'diagonals' in a triangle. Each vertex is connected to both of the other vertices, by the sides.
What are 2 properties of an isosceles triangle?
-- An isosceles triangle has two equal sides. -- An isosceles triangle has two equal angles. -- An isosceles triangle has two equal interior-angle bisectors. -- The bisector of the vertex angle of an isosceles triangle is also the perpendicular bisector of the triangle's base.
How many pairs of perpendicular lines does an isosceles triangle have?
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Is a isosceles triangle perpendicular?
No
How many perpendicular lines does an isosceles triangle have?
If it is a 45° 45° 90° isosceles right triangle, then there are 2 sides that are perpendicular.
Are the side of an isosceles triangle perpendicular?
The only requirement for an isosceles triangle is that two sides be the same length and one be different. It is possible for an isosceles triangle to have two perpendicular legs. It would be right and isosceles.
Does a isosceles triangle have perpendicular lines?
No but it does have a perpendicular line of symmetry.
How you can draw a altitude with isosceles triangle?
The altitude line is perpendicular to the base and bisects the apex of the isosceles triangle.
What are the exact dimensions of an isosceles triangle?
it can have an infininite number of dimensions.
Does an isosceles triangle have perpendicular lines?
Not normally but as an isosceles right angle triangle it will have perpendicular lines that meet at 90 degrees.
How may perpendicular lines in an isosceles triangle?
None but its apex is perpendicular to its base
Do the perpendicular bisectors of a triangle always sometimes or never intersect on the triangle?
The perpendicular bisectors only intersect on the triangle when it is an isosceles right triangle.
How many perpendicular sides does a isosceles triangle have?
None
