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The perimeter of the triangle with verti...

The perimeter of the triangle with vertices (0, 4), (0, 0) and (3, 0) is

A

`(7 + sqrt(5))`

B

`5`

C

`10`

D

`12`

Text Solution

Verified by Experts

The correct Answer is:
D

AB = 4 units, BC = 3 units.
`AC^(2) = (3-0)^(2) + (0-4)^(2)`
= (9+16) = 25.
`rArr` AC = 5 units.
`therefore ` perimeter = (4+3+5) units
= 12 units.
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Knowledge Check

  • The perimeter of a triangle with vertices (0,4),(0,0) and (3,0) is

    A
    `5`
    B
    `12`
    C
    `11`
    D
    `7+sqrt(5)`

  • The perimeter of a triangle with vertices (0,3) (0,0) and (4,0) is

    A
    5
    B
    12
    C
    9
    D
    16

  • what is the perimeter of the triangle with vertices A(-4, 2), B(0, -1) and C(3, 3) ?

    A
    `7+3sqrt(2)`
    B
    `10+5sqrt(2)`
    C
    `11+6sqrt(2)`
    D
    `5+sqrt(2)`

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