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What is the perimeter and height of a triangle that has a base length of 15cm with base angles of 28.67 degrees and 15.5 degrees?
Wiki User
∙ 6y ago
Using the sine formulae of a/A=b/B=c/C and A/a=B/b=C/c in trigonometry the perimeter of the triangle is 31.08 cm with a height of 2.76 cm both rounded to two decimal places.
Wiki User
∙ 6y ago
Wiki User
∙ 6y agoThe perimeter is 31.1 cm, and the height is 2.76 cm.
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How do you find the perimeter of a triangle with perpendicular height?
The height of a triangle alone is not enough information to find the perimeter. You need some angle measures or side lengths.
What are a score or more facts about the properties of angles and triangles?
1 Angles are measured in degrees, minutes and seconds 2 Angles greater than 0 but less than 90 degrees are acute 3 Angles of 90 degrees are right angles 4 Angles greater the 90 but less than 180 degrees are obtuse 5 Angles greater than 180 but less than 360 degrees are reflex 6 Angle of 360 degrees is a full rotation 7 Triangles are 3 sided polygons 8 Triangles have 3 inside angles that add up to 180 degrees 9 Triangles have 3 outside angles that add up to 360 degrees 10 Triangle that is scalene has 3 different acute angles 11 Triangle that is a right angle triangle has a 90 degree angle and 2 acute angles 12 Triangle that is obtuse has 1 obtuse angle and 2 acute angles 13 Triangle that is isosceles has 2 equal base angles and 2 equal sides 14 Triangle that is equilateral has 3 equal inside angles and 3 equal sides 15 Triangles have no diagonals 16 Triangles will tessellate leaving no gaps or overlaps 17 Triangle's area is 0.5*base*perpendicular height 18 Triangle's perimeter is the sum of its 3 sides 19 Triangle as a right angle triangle is subject to Pythagoras' theorem 20 Triangles are subject to the rules of trigonometry 21 Triangles are the corner stones of all other polygons
What is the height of an equilateral triangle with a length of x?
Cutting the equilateral triangle in half results in two right triangles each with a base of length x/2, and angles of 30, 60, and 90 degrees. Using the lengths of sides of a 30-60-90 triangle it can be found that the height is (x/2)√(3), which is the same as the height of the equilateral triangle.So the height of the equilateral triangle is x√(3) / 2.
How do you find the height of a rectangle with the base and perimeter given?
Height = (Perimeter/2) - Base
What is the area of a right triangle whose legs are 10' and 15'?
Use the formula for the area of a triangle, which is 0.5 x base x height. Since the 10' and the 15' are at right angles, you can take any of them to be the "base", in which case the other one is the "height".
What does external angles mean the area of the triangle?
The 3 external angles of a triangle add up to 360 degrees Area of a triangle is 0.5*base*height
What is the perimeter and interior angles of a right angle triangle when its height is 7 cm greater than its base and has an area of 60 square cm?
Perimeter: 17+15+8 = 40 cm Interior angles to the nearest degree: 62 degrees, 28 degrees and 90 degrees Solved by means of the quadratic formula, Pythagoras' theorem and trigonometry.
What are the theorems of an isosceles triangle?
It has 3 sides It has 3 interior angles that add up to 180 degrees Its 2 base angles are equal It has 2 equal sides It will tessellate It has a perimeter which is the sum of its 3 sides It has an area which is 0.5*base*perpendicular height
How are an equilateral triangle and a scalene triangle a like?
They both have 3 sides They both have 3 interior angles that add up to 180 degrees They both have no diagonals They both have a perimeter which is the sum of their 3 sides They both will tessellate They both have an area which is 0.5*base*height
Can height and base be equal of right triangle?
Yes and it will have a 90 degree angle and two angles of 45 degrees. Such a triangle is called an isosceles right angle triangle.
Can you find the height of a triangle when you know the perimeter?
No.
When can one of the two congruent sides of an isosceles triangle be used as the height of the triangle?
When it has a 90 degree angle and 2 equal angles of 45 degrees
What are 4 characteristics about triangle?
1 It's a 2 dimensional shape with 3 sides and 3 nterior angles 1 It's a 2 dimensional shape with 3 sides and 3 interior angles 2 Its 3 interior angles add up to 180 degrees 3 It can tessellate 4 It has perimeter which is the sum of its 3 sides 5 It has an area which is 0.5*base*height 6 It can be a scalene triangle 7 It can be a right angle triangle 8 It can be an obtuse triangle 9 It can be an equilateral triangle 10 It can be an isosceles triangle
How do you find the perimeter of a triangle with perpendicular height?
The height of a triangle alone is not enough information to find the perimeter. You need some angle measures or side lengths.
What are a score or more facts about the properties of angles and triangles?
1 Angles are measured in degrees, minutes and seconds 2 Angles greater than 0 but less than 90 degrees are acute 3 Angles of 90 degrees are right angles 4 Angles greater the 90 but less than 180 degrees are obtuse 5 Angles greater than 180 but less than 360 degrees are reflex 6 Angle of 360 degrees is a full rotation 7 Triangles are 3 sided polygons 8 Triangles have 3 inside angles that add up to 180 degrees 9 Triangles have 3 outside angles that add up to 360 degrees 10 Triangle that is scalene has 3 different acute angles 11 Triangle that is a right angle triangle has a 90 degree angle and 2 acute angles 12 Triangle that is obtuse has 1 obtuse angle and 2 acute angles 13 Triangle that is isosceles has 2 equal base angles and 2 equal sides 14 Triangle that is equilateral has 3 equal inside angles and 3 equal sides 15 Triangles have no diagonals 16 Triangles will tessellate leaving no gaps or overlaps 17 Triangle's area is 0.5*base*perpendicular height 18 Triangle's perimeter is the sum of its 3 sides 19 Triangle as a right angle triangle is subject to Pythagoras' theorem 20 Triangles are subject to the rules of trigonometry 21 Triangles are the corner stones of all other polygons
Why is an equilateral triangle equivalent to an isosceles triangle?
They both have 3 sides They both have 3 interior angles that add up to 180 degrees They both have 3 exterior angles that add up to 360 degrees They both will tessellate They both have an area that is 0.5*base*perpendicular height They both have a perimeter which is the sum of their 3 sides They both can be doubled up to form quadrilaterals But an equilateral triangle has 3 equal sides whereas an isosceles triangle has only 2 equal sides
What are the proprietaries of a right angled triangle?
Sum of exterior angles: 360 degrees Sum of interior angles: 180 degrees The square of its hypotenuse is equal to the sum of its base squared plus its height squared.
