Given the lengths of its sides, a triangle can be constructed using straws or strips of paper that are the given lengths. Using one of these tools, construct a triangle that has side lengths of 1.75 inches, 1.25 inches, and 3.25 inches. If it is possible to construct a triangle with these side lengths, include a sketch of your construction in your answer, making sure to label all measurements. In addition, (a) classify the triangle based on its sides and angles, and (b) explain whether the triangle you constructed is unique or if more than one triangle with these side lengths is possible If it is not possible to construct a triangle with these side lengths, (a) explain your reasoning, (b) describe how one of the side lengths could be changed in order to make the construction possible, and (c) construct and sketch a triangle using the new side length. Use complete sentences in your answers.
Answers
Answer:
Now the other side is 3.25 inches long, so a triangle can't be constructed. For a triangle to be formed the length of any side must be less than the sum of the other 2 sides. (b) if the length of the longest side is reduced to less than 3 , say 2.5 inches then a triangle can be constructed
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Answer:
By selling a pen gain is Rs.2
and by selling a pencils, he loses 50 paise
and an eraser, he loses 15 paise
On one day, he gain =Rs.10
On that day he sold 10 pens and pencils and erasers in the ratio of 7:10
On ten pens, his gain =10×2=Rs.20
loss on pencils and erasers =Rs.20−Rs.10=Rs.10=1000 paise
Ratio in pencil and eraser =7:10
Let number of pencils =7x, then eraser =10x
7x×50+10x×15=1000
⇒350x+150x=1000
⇒500x=1000
⇒x=2
Numbe rof penciles =7×2=14
and number of erasers =10×2=20