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In Exercises $9-12,$ place the $\quad$ gure in a …

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Problem 9 Easy Difficulty

In Exercises $9-12,$ place the $\quad$ gure in a coordinate plane and 1 nd the indicated length.
a right triangle with leg lengths of 7 and 9 units;
Find the length of the hypotenuse.


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Video Transcript

this problem. We've embedded a right angle triangle as lunch with side glimpse of seven and nine into the coordinate plain. And we've done this by using the birth sees of the triangle as the origin. Then on the X factor's we've extended nine units of a right to this cordon is 90 Andi for the y axis, we've extended seven units up into Miss Vertex is 07 So we've embedded our right angle triangle into requirement plane when we want to find the length of the blue line which is the high pot in use. Now we can do is facing pie factory sous fair which states with peace square the sum of the squares of the two sides A and B. So if we label these sides a be this is equal to the square of the side C and C is the hypotenuse. So this is that a squared plus B squared is equal to see sweat. So it's high five vs fair Now the length a is 77 sweat plus nine sward. This is 49 plus 81 which is equal to 130. So 130 is the square for high potting use, so the length of the high pass in use is the square root of 130 on. This is equal to 11 0.40 to toe free decimal places.

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Geometry A Common Core Curriculum

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Video Thumbnail

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In mathematics, a radical is a function that extracts square roots. The term is also used for a symbol that represents such a function, usually the symbol ?, which is called the radical sign or radix. In algebra, radicals are represented by square root symbols.

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