Give Me BCHELLepiesel LIIS UI
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i) in one variable
00) in two variables
A river flows through a village The villagers want to measure its breadth without
crossing the river as force of water's current is very high. Raman a student of class
IX of their village has come and told "I will measure the breadth of the river
without crossing it." He came on the bank of river at a point A and imagine a point B
just opposite on the other bank. He moves to C and then D such that is the
equidistant from A and D. Then he moves to E such that B and E are the on the
same line
1.How it can possible? Explain.
2.If AC=7m and CE =25m,find the breadth of the river.
Answers
Width of river = 24 cm
Step-by-step explanation:
AC = CD
B , C , E are in same line
Compare Δ ACB & Δ DCE
AC = CD
∠ACB = ∠DCE ( vertically opposite angle)
∠CAB = ∠CDE = 90°
=> Δ ACB ≅ Δ DCE
=> DE = AB = ( width of river)
* CE = BC
CE = 25 cm => BC = 25 cm
AC = 7 cm =
AB² = AC² - BC²
=> AB² = 25² - 7²
=> AB² = (25 + 7)(25 - 7)
=> AB² = 32 * 18
=> AB² = 4² * 2 * 3² * 2
=> AB² = 4² * 3² * 2²
=> AB = 4 * 3 * 2
=> AB = 24 cm
Width of river = 24 cm
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I want the answer of 1st question