Can anyone explain this to me??

Mathematics

1 answer:

finlep [7]3 years ago

3 0

It is the first option. DF = DE. It is referring to the lengths of each line, DE and DF look like they are the same. It is not a scalene triangle it is a right triangle. EF is way too long to be equal to DE or DF

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A triangle has two sides of length 15 cm and 17 cm. Select all the values of its third side that would make it a right triangle

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$\sqrt{514} cm$ , 8cm, are both options

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For a right triangle one can find the length of the longest side by using the Pythagorean theorem. So there are two options I can think of that if the triangle is a right triangle will work. First remember what the Pythagorean theorem is : side a^2+side b^2=hypotenuse^2

The hypotenuse is the longest side of a right triangle. So if the sides that are 15 and 17 cm are not the longest sides then the formula would be:

$15^{2} +17^2=c^2\\15^2+17^2=\sqrt{514}cm$