The area of a rhombus is 480m² and one of the diagonals is 160cm. Find the other
diagonal.
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The area of a rhombus is 480m² and one of the diagonals is 160cm. Find the other
diagonal.
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♣ᴄᴏʀʀᴇᴄᴛ ǫᴜᴇsᴛɪᴏɴ:–
The area of a rhombus is 480cm² and one of the diagonals is 160cm. Find the other diagonal.
♣ɢɪᴠᴇɴ:–
♣ᴛᴏ ғɪɴᴅ:–
♣sᴏʟᴜᴛɪᴏɴ:–
We know the formula of finding the area of a rhombus :—
→ 480 = ½ × 160 × d₂
→ 480 = 80 × d₂
→ 480/80= d₂
→ 6 = d₂
→ d₂ = 6
∴ the other diagonal = 6 cm
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♣ᴀɴsᴡᴇʀ:–
[tex]\huge\sf{Given:-}[/tex]
area of a rhombus is =480m²
one of the diagonals is= 160cm
[tex]\huge\sf{Solution:-}[/tex]
[tex]\sf \red{It \:can \:be \:written \:as},[/tex]
[tex]\sf \dfrac{1}{2}\times diagonal_1×diagonal_2 =480 [/tex]
[tex]\sf \red{So\:we\:get},[/tex]
[tex]\sf \dfrac{1}{2}\times 160×diagonal_2 =480 [/tex]
On further calculation
[tex]\sf Diagonal _2 = 6cm[/tex]