the length of a chord of circle of radius 10 cm is 12 cm find the distance of the chord from the centre. pls answer this question
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Answer:
8 cm
Step-by-step explanation:
The chord and the two radii forms an isosceles triangle.
Find the area of the triangle:
s = ( 10 + 10 + 12) ÷ 2 = 16 cm
area = √16(16 - 10)(16-10)(16-12)
area = 48 cm²
Find the height of the triangle:
area = 1/2 x base x height
1/2 x 12 x height = 48
6 x height = 48
height = 48 ÷ 6 = 8 cm
Answer: The height is 8 cm
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