1. Parallelogram is defined by the coordinates (-2, -4), (6, -4), (11, 2), and (3, 2), respectively. Use the Pythagorean Theorem to find the length of the parallelogram’s diagonal image.
    image = a1 units
in Geometry Answers by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

Gh There are two diagonals and the given points haven’t been labelled, so I need to give two answers.

The base and top have a length of 6-(-2)=8 units, 11-3=8 units.

The top is shifted 3-(-2)=5 units to the right of the base. If we drop a perpendicular on to the base it intercepts the base at (3,-4) forming a right triangle (3,2), (3,-4), (6,-4) where (3,-4) is the right angle. The hypotenuse is a diagonal so its length is √(3²+6²)=√45.

That’s one diagonal. Now for the other. Drop a perpendicular from the top right vertex (11,2) on to the extended base at (11,-4). The right triangle has a base length of 11-(-2)=13 units and a height of 2-(-4)=6 units just like the other diagonal. So, again using Pythagoras’ Theorem, the length of this second diagonal is √(13²+6²)=√205.

So the diagonals have lengths √45=6.7082 approx and √205=14.3178 approx units.

Check your question and label the vertices so that you can tell whether it’s the red or blue diagonal implied in the question.


by Top Rated User (645k points)

Related questions

1 answer
1 answer
asked Apr 10, 2013 in Geometry Answers by anonymous | 226 views
0 answers
asked Apr 8, 2013 in Geometry Answers by anonymous | 129 views
1 answer
asked Jan 18, 2012 in Geometry Answers by anonymous | 833 views
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
82,922 questions
87,581 answers
4,238 users