represent √8.7 on a number line
Answers
represented √8.7 on a number line
Step-by-step explanation:
Step 1 : Draw a number line AOB ( O being 0)
Step 2 : Take a length of 8.7 cm from O on left side mark it M
Step 3 : Take 1 cm from O on right side , mark it N
Step 4 : Using suitable compass width draw arcs on both sides of MN taking M & N as center & intersecting at X & Y
Step 5 : join X & Y intersecting MN at P
Step 6 : Draw a semicircle taking P as center & PM = PN as radius ( compass width)
Step 7 : Draw a right angle at AO such that it intersect semicircle at Z
OZ = √8.7
Step 8 : Taking compass width = OZ and taking O as center cut the number line on right side at C
point C represent √8.7 on a number line
Mathematical proof
Semicircle radius = (8.7 + 1)/2 = 9.7/2 ( hypotenuse)
9.7/2 - 1 = 7.7/2 = Base
Perpendicular OZ² =( 9.7/2)² - (7.7)²
=> OZ² = (17.4)(2)/4
=> OZ² = 8.7
=> OZ = √8.7
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Answer:
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