Question

ASAP HELP HIGH POINTS
find the value of x.

Answer 1

x is the radius

So apply Pythagorean theorem

• H²=P²+B²
• x²=(4/2)²+3.7²
• x²=2²+13.69
• x²=4+13.69
• x=√17.69
• x=4.2

Answer 2

x ≈ 4.2 (nearest tenth)

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)