plz solve this question
Answers
Answer:
let breath is x
a²+b²=c² (diagonal formula)
8²+x²=10²
64+x²=100
x²=36
x=√36 (square root on both sides)
x=6
perimeter=2(l+b)
=2(10+8)
=2(18)
=36
☞︎︎︎ Given :
➪ Length of rectangle = 8cm
➪ Length of diagonal = 10cm
➪ We see , if we cut the triangle from its diagonal then 2 equal right angled triangles will be formed
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☞︎︎︎ To Find :
➪ Breadth of rectangle
➪ Perimeter of rectangle
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☞︎︎︎ Solution :
➪ As the new equal triangles are right angled
∴ Use , Pythagoras Theorem -
✰ H² = B² + P²
★ Here,
- H = 10cm
- P = 8cm
- B = To find
➪ 10² = 8² + B²
➪ 100 = 64 + B²
- On transposing the terms -
➪ 100 - 64 = B²
➪ 36 = B²
- 6² = 36
➪ 6² = B²
∴ Base = 6cm
❥︎ Base = Breadth of rectangle
∴ Breadth = Base = 6cm
- Formula -
✰ Perimeter = 2( length + breadth)
➪ Perimeter = 2( 8cm + 6cm )
➪ Perimeter = 2 × 14 cm
∴ Perimeter = 28cm
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