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The area of a triangle with two sides equal to 1 foot and the angle between those two sides equal to 45 degrees is 0.354 square feet.
Draw a triangle, one side of length 1, from the origin to the right along the x axis. The second side, also of length 1, goes up and to the right from the origin at an angle of 45 degrees with respect to the x axis. The third side connects the two end points of those line, but the length of that line does not matter.
Draw a fourth line from the top of the triangle straight down to the x axis. That is the height of the triangle, and it is also sine(45 degrees), which is one half the square root of two or 0.707. Take the base (1), multiply by the height (0.707) and divide by 2 and you get 0.354.
Technically, the fourth line is sine(45 degrees) divided by the hypotenuse, but since the hypotenuse is 1 (the second line), it was omitted in the prior paragraph for clarity.
What else can I help you with?
What 3 dimensional figure is formed by continually rotating a right triangle 360 degrees?
the answer is cone
What is an angle formed by one side of a triangle and the extension of an adjacent side?
Exterior and interior angles at the vertex of a triangle add up to 180 degrees
What shape can be formed from two congruent isosceles triangles?
A rhombus.
What are 3 attributes of a triangle?
all the lines on a triangle are equal and the opposite sides are parallel
What angle is formed by the hands of the clock at 4 oclock?
120 degrees and 240 degrees.
When a square is divided by a diagnal is an isosceles acute triangle is form?
A right angle isosceles triangle is then formed which will have two 45 degrees angles and one 90 degrees angle.
What does right isosceles mean?
An isosceles triangle is a triangle that has two sides of equal length. A right triangle has an interior angle of 90 degrees. A right isosceles triangle has both characteristics. The 90 degree angle will be the angle formed by the sides of equal length.
What is the measure of an acute base angle of the trapezoid of an isosceles triangle vertex of 46 degrees?
For an isosceles triangle with vertex 46 degrees, the sum of the remaining two base angles is 180-46 = 134 degrees. Base angles are equal because it's isosceles, so each angle is half of their sum. 134/2 = 67 degrees. Thus, any isosceles trapezoid formed inside that isosceles triangle by drawing parallel lines to the triangle's base, will have base angle measures of 67 degrees, which are triangle's base angles.
What triangles are formed when you cut an equilateral triangle?
An isosceles triangle
What is formed when one side of a triangle is extended?
isosceles triangle
The isosceles trapezoid is part of an isosceles triangle with a 32 degrees vertex anglewhat is the measure of an acute base angle of the trapezoid?
In an isosceles triangle with a vertex angle of 32 degrees, the base angles are each equal to ( \frac{180^\circ - 32^\circ}{2} = 74^\circ ). Since the isosceles trapezoid is formed from this triangle, the acute base angles of the trapezoid are also equal to the base angles of the triangle. Therefore, the measure of an acute base angle of the trapezoid is 74 degrees.
What triangle is formed with three sides of different lengths?
A scalene triangle. In a scalene triangle, there are no congruent sides or angles. In an isosceles triangle, at least two congruent sides and angles. In an equilateral triangle, all three sides and angles are congruent, with angles that always measure sixty degrees. Note: an equilateral triangle also classifies as an isosceles triangle, as it meets the definition of an isosceles triangle mentioned above.
What is the Name of the triangle formed by joining of points formed by the perpendiculars drawn from vertexes to the opposite side?
isosceles triangle
What kind of triangle are formed if the square is divided diagonally into two?
Isosceles triangles
What is formed by the congruent legs of an isosceles triangle?
Equal angles and equal lengths
what- A triangle is formed by the intersection of the lines y = 0, y = -3x + 3, and y = 3x + 3.Is the triangle equilateral, isosceles, or scalene Graph the lines on grid paper to find the vertices of the triangle?
isosceles
What kind of triangle is formed when a rhombus is cut in half by drawing a line connecting two of its opposite vertices?
An isosceles triangle
