Perimeter of a rectangle is 22 Cm. Length of it's diagonal is...?

Hammad

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1) Perimeter of a rectangle is 22 Cm. Length of it's diagonal is ..............?

2) ABCD is parallelogram such that m<C=105 deg. Which one of the following is the longest side? (a)AB (b)BC (c)CD (d)BD

3) Measure of one side of an equilateral triangle is 6 Cm . Length of it's median is ................ 9cm? (a)Less than (b)Greater than (c)Equal to(d)none of the above
 
1) Perimeter of a rectangle is 22 Cm. Length of it's diagonal is ..............?

2) ABCD is parallelogram such that m<C=105 deg. Which one of the following is the longest side? (a)AB (b)BC (c)CD (d)BD

3) Measure of one side of an equilateral triangle is 6 Cm . Length of it's median is ................ 9cm? (a)Less than (b)Greater than (c)Equal to(d)none of the above
What are your thoughts?

Please share your work with us ...even if you know it is wrong.

If you are stuck at the beginning tell us and we'll start with the definitions.

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1) Perimeter of a rectangle is 22 Cm. Length of it's diagonal is ..............?
Draw a rectangle with length L = 5 and width W = 6. What is the perimeter? Draw a diagonal. Apply the Pythagorean Theorem to find the length of the diagonal.

Draw a rectangle with length L = 1 and width W = 10. What is the perimeter? Draw a diagonal. Apply the Pythagorean Theorem to find the length of the diagonal.

Can you see why there is no way to answer the question (numerically) with only the information provided?

2) ABCD is parallelogram such that m<C=105 deg. Which one of the following is the longest side? (a)AB (b)BC (c)CD (d)BD
You drew the parallelogram and labelled the four corners, with the indicated angle being drawn as being greater than a right angle. What did you see from the drawing (and know from the various definitions and rules: here) regarding the size of the "next" angle in the parallelogram? What did you conclude about the relatives sizes (greater than or less than) of the pairs of opposite sides of the parallelogram? By definition of "parallelogram", can you see why the question "Which one...is the longest side" makes no sense?

3) Measure of one side of an equilateral triangle is 6 Cm . Length of it's median is ................ 9cm? (a)Less than (b)Greater than (c)Equal to(d)none of the above
You looked up the definition of "equilateral" triangle. You applied this information to a drawing of an equilateral triangle, labelling the three sides with the appropriate side-length values. And... then what? Where are you stuck?

Please be complete. Thank you! ;)
 
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