The side of a rhombus is 5 cm. If length of one diagonal of the rhombus is 8 cm, then find the length of the other diagonal.
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Answered by
16
area=4s
4(5)=20cm
area=1/2 ×d1×d2
20=1/2 ×8×d2
20=8d2/2
20=4d2
d2=20/4
d2=5cm is answer obtained
4(5)=20cm
area=1/2 ×d1×d2
20=1/2 ×8×d2
20=8d2/2
20=4d2
d2=20/4
d2=5cm is answer obtained
Answered by
34
The diagonals of a rhombus intersect at right angle.
⇒ half of each diagonal and the length of the side will form a right angle triangle
Find 1/2 of the known diagonal:
Diagonal = 8 cm
1/2 the diagonal = 8 ÷ 2 = 4 cm
Find half of the other diagonal:
a² + b² = c²
a² + 4² = 5²
a² = 5² - 4²
a² = 9
a = √9
a = 3 cm
Find the length of the diagonal:
1/2 the diagonal = 3 cm
the diagonal = 3 x 2 = 6 cm
Answer: The length of the other diagonal is 6 cm
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