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Drupady [299]
3 years ago
13

Can you construct a triangle that has side length of 1 cm 15 cm and 15 cm

Mathematics
1 answer:
ikadub [295]3 years ago
6 0
Hey there!

A (right) triangle can only be constructed if it can be verified by the Pythagorean Theorum.
Basically, the Pythagorean Theorum is the sum of both legs squared need to be equivalent to the hypotenuse (side across from the 90 degree angle) squared.
Let's try our sides as 1 and 15, then our hypotenuse as 15.
1^2 = 1
15^2 = 225
15^2 = 225
1 + 225 = 226
226 =\ 225.

Your answer is:

No, you cannot construct a triangle with the side lengths of 1, 15 and 15.

I hope this helps!
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sara has two bags of nuts one with 60% peanuts and the other with 28% peanuts. to make a ten pound bag of 45% peanuts how much o
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SOLUTION - GIVEN = Sara has two bag with 60% & 28% peanut.

                    prove = How much the peanut is used to make 10 pound of 45%

                                 peanut.

TO PROOF -  Assume that

                    let  x be the  value of the peanut  used by sara  from the bag

                  60% peanut bag.

                  let ( 10 - x)  be the value of peanut used by sara from 28% peanut

                  bag.

                as given the bag become  of  the 10 pound which contain

                 45% of peanunt.

                  thus we have

               0.60x + 0.28 ( 10 - x ) = 0.45 (10)        

                0.60x + 0.28 ( 10 -x ) =   4.5

               0.60x  +   2.8 -  0.28 x = 4.5

              0.60x - 0.28x = 4.5 - 2.8

            0.32x  = 1.7

             x =  5.3125   peanut is taken from the 60% bag.

            & 4.6875 peanut from the 28% bag.                                              

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