Find the area of the triangle below.
1 answer:
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Answer:56.8 inches
Step-by-step explanation:
For perimeter we must find the lengths of the 2 diagonal sides of the triangle which are the same because it is isosceles.
the triangle is cut directly in half so both halves of the base are 17/2
17/2 = 8.5
solve through pythagoren theorum
altitude^2 + (half of base)^2 = (diagonal length)^2
18^2 + (8.5)^2 = (diagonal length)^2
324 + 72.25 = (diagonal length)^2
396.3 = (diagonal length)^2
= diagonal length
diagonal length = 19.9
diagonal length + diagonal length + base = perimeter
19.9 + 19.9 + 17 = perimeter
56.8 inches = perimeter
Check the attached file for the answer.
Answer:
First option: Square with diagonals
and
.
Fifth option: Segment is parallel to segment
.
Step-by-step explanation:
We know that a square is quadriteral whose sides are equal.
By definition, a square has the following properties:
1) Its four sides are congruent.
2) The diagonals are congruent.
3) The angles formed by the intersection of the diagonals measure 90 degrees.
4) The opposite sides are parallel.
5) Each internal angle measures 90 degrees.
Notice in the figure that:
- The diagonals of the square
are:
and
.
and
are opposite sides, therefore, they are parallel.