The perimeter of the rectangle is 34 cm, and one side is 5 cm. Find the diagonal of the rectangle.

# The perimeter of the rectangle is 34 cm, and one side is 5 cm. Find the diagonal of the rectangle.

You can solve the first 5 problems please.

There are 3 answers

Cheburator

Answered on December 24, 2014 12:11

First we find the second side of the rectangle. 1. 34 = 2 * (5 + X) 17 = 5 + X X = 12 Now we find the diagonal 2. d (diagonal) = root of (5 squared + 12 squared) d = root of (25 + 144) d = root of 169 d = 12 All! the diagonal is 13

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Cheburator

Hoyoi root of 169 = 13, ochepyachtochka out

Answered on December 24, 2014 12:12, Cheburatora |

Mr arrogance

Cheburator, correct a typo in the second last line

Answered December 24, 2014 12:17 PM, Cheburatora |

Mr arrogance

Oh, already)

Answered December 24, 2014 12:17 PM, Cheburatora |

Thank you

Answered on December 24, 2014 12:18, Cheburatora |

Butterfly

Answered on December 24, 2014 12:20

Yarik, it is necessary to study at school, but not to look for help sites! Of course, I will help,but how will you write the control? On this example, learn and repeat. We reflect together. Look: at the rectangle, the parallel sides are equal. To find out the value of the second side, you need to subtract the known side from the half-perimeter. Semi-perimeter = 34: 2 = 17. From 17 - 5 = 12. Second side = 12 cm. Now we divide the rectangle by the diagonal, we get a right triangle, in which the legs will form two sides of the rectangle, and the unknown diagonal will be the hypotenuse. Here it is easy - the Pythagorean theorem: the sum of the squares of the legs is equal to the square of the hypotenuse. The sides of the square must be squared and folded - we get the square of the hypotenuse - the diagonal. Then you need to extract the root from the square, and there will be a diagonal. 12x12 + 5x5 = 144 + 25 = 169. The root of 169 = 13. Diagonal = 13 cm.

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