aencarnacion0525 aencarnacion0525
  • 25-01-2020
  • Mathematics
contestada

A rectangle has side lengths, L and W, and a diagonal, d.

Complete the equations to answer the questions below.

A rectangle has side lengths L and W and a diagonal d Complete the equations to answer the questions below class=
A rectangle has side lengths L and W and a diagonal d Complete the equations to answer the questions below class=

Respuesta :

jessica0111
jessica0111 jessica0111
  • 25-01-2020

Answer:

L^2+W^2=d^2

Step-by-step explanation:

7^2+5^2=d^2

49+25=d^2

d^2=74

d=root of 74

d=8.6

Answer Link
jimrgrant1 jimrgrant1
  • 25-01-2020

Answer:

see explanation

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

L² + W² = d²

Given L = 7 and W = 5, then

7² + 5² = d², that is

49 + 25 = d²

74 = d² ( take the square root of both sides )

[tex]\sqrt{74}[/tex] = d, then

d ≈ 8.6 units ( to the nearest tenth )

Answer Link

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