contestada

This is a starting ramp for a BMX track.
12 m
8
12 m
26 m
a) Find length AB.
b) Find length AC, giving your answer to 1 decimal place. pls help thanks ​

This is a starting ramp for a BMX track12 m812 m26 ma Find length ABb Find length AC giving your answer to 1 decimal place pls help thanks class=

Respuesta :

a) AB = 17 m, b) AC = 20.8 m.

Step-by-step explanation:

Step 1; Split the side on which AB lies into known shapes. It consists of a rectangle and a triangle. The rectangle has a length of 11 m and a width of 8m. The triangle has a base length of 26m - 11m = 15m. It has a height of 8m. So we can find the AB of the triangle.

AB = √(15² + 8²) (Pythagoras theroem) = √(225 + 64) = √289 = 17 m.

So AB length is 17m.

Step 2; We split the rectangle which contains ABC into two equal triangles. So the rectangle has a length equal to AB, so the length is 17m while width equals 12m. So we calculate the length of AC using the Pythagoras theorem.

AC = √(17² + 12²) (Pythagoras theroem) = √(289 + 144) = √433 = 20.808 m.

Rounding off 20.808 m to 1 decimal place, we get AC = 20.8 m.

akposevictor

Applying the Pythagorean Theorem, we have the following:

a. AB = 17 m

b. AC = 20.8 m

Recall:

  • Pythagorean Theorem can be applied when finding missing lengths of a right triangle.
  • Where c is the hypotenuse (longest side) and a and b are the other leg lengths, the Pythagorean Theorem states that: [tex]c^2 = a^2 + b^2[/tex]

a. Applying the Pythagorean Theorem, we can solve for the length of ABV as follows:

AB² = (26 - 11)² + 8²

AB² = 289

AB = 17 m

b. Apply the Pythagorean Theorem to find AC, considering AC to be the hypotenuse of triangle ABC:

AC² = BC² + AB²

  • Plug in the values

AC² = 12² + 17²

AC² = 433

AC = 20.8 m

Learn more about Pythagorean Theorem on:

https://brainly.com/question/22544679

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