Find the unknown length x in the following figure
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☕︎ Given :
☞︎︎︎ Side AB = 37
☞︎︎︎ Side AC = 37
☞︎︎︎ Side Ax = 12
☕︎ To Find :
☞︎︎︎ Length of x
❥︎ We see that if we cut the triangle in to halves from Ax , then two right angles will be formed.
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☕︎ Solution :
★ As 2 new trianglea formed are right angled triangles -
✰ So ,
« « « Phythagores Theoram » » »
☞︎︎︎ H² = P² + B²
- H = 37
- P = 12
- B = To find
➪ 37² = B² + 12²
➪ 1369 = B² + 144
✞︎ On Transposing The Terms :
➪ 1369 - 144 = B²
➪ 1225 = B²
❥︎ Square when transposed becomes square root
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Now,
☞︎︎︎ Base of 1 triangle = 35
✰ Since , Both triangles are equal.
➪ x = 35 + 35
∴ length of x = 70
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