The diagonals of a rhombus measure 16 cm and 30 cm. Find the perimeter. for class 7​

Question

The diagonals of a rhombus measure 16 cm and 30 cm. Find the perimeter.

for class 7​

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Lydia 1 month 2021-08-17T06:42:27+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-08-17T06:43:32+00:00

    Answer : perimeter =68 cm

    Step-by-step explanation:

    Rhombus

    Solve for perimeter

    P=68cm

    p Diagonal

    16

    cm

    q Diagonal

    30

    cm

    Using the formulas

    P=4a

    a=p2+q2

    2

    Solving forP

    P=2p2+q2=2·162+302=68cm

    please mark the answer brainleist

    0
    2021-08-17T06:43:54+00:00

    Step-by-step explanation:

    Given: Diagonals AC=30cm and DB=16cm.

    Since the diagonals of the rhombus bisect at right angle to each other.

    Therefore, OD=

    2

    DB

    =

    2

    16

    =8cm

    and OC=

    2

    AC

    =

    2

    30

    =15cm

    Now, In right angle triangle DOC,

    (DC)

    2

    =(OD)

    2

    +(CO)

    2

    ⇒(DC)

    2

    =(8)

    2

    +(15)

    2

    ⇒(DC)

    2

    =64+225=289

    ⇒DC=

    289

    =17cm

    Perimeter of the rhombus=4× side

    =4×17=68cm

    Thus, the perimeter of rhombus is 68 cm.

    MARK THE ANSWER BRAINLIST

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