Sushil was thinking of a number. Sushil doubles it, then adds 20 to get an answer of 25.7. What was the original number?
1 answer:
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Answer:
x ≈ 4.2 (nearest tenth)
Step-by-step explanation:
The chord of length 4 is the base of an isosceles triangle with height of 3.7 and sides equal to the radius (x).
An isosceles triangle comprises two right triangles, each with:
- base = 2 units
- height = 3.7 units
- hypotenuse = x units
Therefore, to find x use Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
⇒ a² + b² = c²
⇒ 2² + 3.7² = x²
⇒ x² = 17.69
⇒ x = √(17.69)
⇒ x = 4.2 (nearest tenth)
