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andreyandreev [35.5K]
2 years ago
5

In a right triangle ABC, the length of leg AC=5 ft and the hypotenuse AB=13 ft. Find: a. The median to side BC b. The length of

the angle bisector of angle a
Mathematics
1 answer:
Margarita [4]2 years ago
3 0

Answer:

a. 6 feet

b. The length of the angle bisector of angle A is approximately 7.81 feet

Step-by-step explanation:

a. The given parameters of the right triangle ABC are;

The length of the leg AC = 5 ft.

The length of the hypotenuse AB = 13 ft.

Therefore, the length of the side BC = √((AB)² - (AC)²) = √((13 ft.²) - (5 ft.²)) = 12 ft.

The length to the middle of the side BC = BC/2 = (12 ft.)/2 = 6 ft.

b. The length of the angle bisector of angle A = The the length of the median from A to the side BC = √((BC)/2)² + (AC)²)

BC = √(((12 ft.)/2)² + (5 ft.)²) = √61 ft. ≈ 7.81 ft.

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<h3>         26²/₃ liters of 15% acid and 13¹/₃ liters of 33% acid</h3>

Step-by-step explanation:

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of Solution                   Solution (L)             of Acid

    15%                                x                         0.15x

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x + y = 40    ⇒  x = 40 - y

0.15x + 0.33y = 0.21•40

0.15(40 - y) + 0.33y = 0.21•40

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z=\dfrac{0.3-0.3}{\sqrt{\dfrac{0.3 \times 0.70}{120}}} \approx 0

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2 years ago
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