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An isosceles trapezoid has base angles of 45 degrees and bases of lengths 9 and 15 The area of the trapezoid is?
Wiki User
∙ 13y ago
You can deduce that its height is 3, since the perpendiculars dropped from the shorter base create a central rectangle and two identical, right, isosceles triangle with base and height 3.
3(9+15)/2=36
We know the piece of the base is 3 because we subtract 9 (top base) from 15 (bottom base) and that gives us 6, then divide that in half because there are 2 triangles, so we get 3
this only works for isosceles trapezoids
Then because the triangles on the sides are isosceles, the length of their bases is the same so if the horizontal base is 3, then the vertical base is also 3, which is the height of the trapezoid
Area = average of bases times height
Area = (base 1 + base 2)/2 x height
Area = (15 + 9)/2 x 3
Area = 24/2 x 3
Area = 12 x 3 = 36
Wiki User
∙ 13y ago
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What do the angles of an isosceles trapezoid add up to?
All angles in any trapezoid add up to 360 degrees
Difference with trapezoid and isosceles trapezoid?
If the two sides which are not parallel have equal lengths, then the trapezoid is called an isosceles trapezoid (standard trapezoid has unequal sides). The base angles in an isosceles trapezoid are equal in measurement, also I know that a trapezoid with two nonparallel sides the same length is called an isosceles trapezoid.
Which angles are congruent in an isosceles trapezoid?
The base angles are congruent in an isosceles trapezoid
What are the total angles of a isosceles trapezoid?
The interior angles of ANY trapezium sum to 360 degrees.
Ef is a median of isosceles trapezoid abcd if angle d equals 50 degrees what is the measure of angle ad?
The isosceles trapezoid will have 2 equal base angles of 50 degrees and 2 other equal angles of 130 degrees.
What characteristics An isosceles trapezoid has?
An isosceles trapezoid is a quadrilateral that has parallel bases of different lengths, two equal sides and the lateral base angles are equal. Interior angles add up to 360 degrees Exterior angles add up to 360 degrees
Can the diagonals of an isosceles trapezoid be congruent and perpendicular?
The diagonals of an isosceles trapezoid are equal in lengths but are not perpendicular to each other at right angles.
What do the angles of an isosceles trapezoid add up to?
All angles in any trapezoid add up to 360 degrees
Difference with trapezoid and isosceles trapezoid?
If the two sides which are not parallel have equal lengths, then the trapezoid is called an isosceles trapezoid (standard trapezoid has unequal sides). The base angles in an isosceles trapezoid are equal in measurement, also I know that a trapezoid with two nonparallel sides the same length is called an isosceles trapezoid.
How many degrees does an isosceles trapezoid have?
The four interior angles of any trapezoid add up to 360 degrees
Which angles are congruent in an isosceles trapezoid?
The base angles are congruent in an isosceles trapezoid
What are the base angles of an isosceles trapezoid?
The base angles of an isosceles trapezoid are congruent
The trapezoid is isosceles?
Yes its quite possible to have an isosceles trapezoid which will have 2 equal base angles and 2 equal angles above which all add up to 360 degrees.
What are the total angles of a isosceles trapezoid?
The interior angles of ANY trapezium sum to 360 degrees.
What is the sum of the angles in an isosceles trapezoid?
Its 4 interior angles add up to 360 degrees
What kind of trapezoid is an isosceles?
An isosceles trapezoid is a 4 sided quadrilateral that has a pair of opposite parallel line of different lengths with equal base angles and 1 line of symmetry.
How many angles an isosceles trapezoid have?
Every Trapezoid has 4 angles.An isosceles trapezoid has 2 acute angles.?
