mimamguliyev
mimamguliyev mimamguliyev
  • 25-01-2022
  • Mathematics
contestada

The diagonals of the parallelogram are equal to 17 and 19, and the sides are proportional to each other as 2:3, Find sides.

Respuesta :

mhanifa
mhanifa mhanifa
  • 25-01-2022

Answer:

  • 10 and 15 units

Step-by-step explanation:

Given:

  • d₁ = 17
  • d₂ = 19
  • a = 2x
  • b = 3x

Use the relationship between diagonals and sides of the parallelogram:

  • d₁² + d₂² = 2(a² + b²)

Substitute and solve for x:

  • 17² + 19² = 2((2x)² + (3x)²)
  • 650 = 2(4x² + 9x²)
  • 325 = 13x²
  • x² = 325/13
  • x² = 25
  • x = 5

Find the sides:

  • a = 2x = 2*5 = 10
  • b = 3x = 3*5 = 15
Answer Link

Otras preguntas

Can someone help me out pls
Which organism produces spores?
in A Midsummer Night's Dream how does Shakespeare use a character's name to create humor​
Today. I’m. Going. Restaurant
Gina is the chairperson of a group. Last week, she set up 22 folding chairs for the group meeting. This week, some of the members could not attend the meeting,
what is 3 1/8 - 1/2
The points (4, 1) and (x, -6) lie on the same line. If the slope of the line is 1, what is the value of x?A. x=-3B. x=3C. x=9D. x=11(Could you also show it step
What formula is used to calculate acceleration
how did the elements of fantasy change Leslie from bridge to terabithia? give an example​PLEASE HELP THIS IS DUE ON MONDAY
What did Mehmet II do after he conquered Constantinople?