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vodomira [7]
3 years ago
8

Given: ∆ABC, m∠C = 90° m∠BAC = 2m∠ABC BC = 24, AL −∠ bisector Find: AL

Mathematics
1 answer:
emmasim [6.3K]3 years ago
6 0
The answer is that AL is equal to 16.

Given that in triangle ABC, m∠C=90,
it means m∠A +∠B= m∠BAC + m∠ABC = 90
m∠ABC = 90 - m∠BAC
Also given that;m∠BAC = 2m∠ABC
So,
m∠BAC = 2(90 - m∠BAC) = 180 - 2m∠BAC
m∠BAC +2m∠BAC = 180
3m∠BAC = 180
m∠BAC=180/3 = 60
m∠ABC = 60/3 = 30
thus,ΔBAC is a 30-60-90 right triangle, in which the ratio of the side lengths is 1:√3:2AC:BC=1:√3, AC=BC/√3BC=24, So,
AC=24/√3=8√3AL bisects angle A =>m∠LAC=30
ΔALC is a 30-60-90 right triangle, in which the ratio of the side lengths is 1:√3:2AC:AL=√3:2AL=2AC/√3=2x8√3/√3=16
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Nataly_w [17]

Answer:

36

Step-by-step explanation:

In the above question, we have been given a rule to follow

Given a * b = ba−ba+ab

We are to find (2*3)×(3*2)

Let simplify each bracket first

a * b = ba−ba+ab

2*3, a = 2, b = 3

2*3 = 3×2 - 3×2 + 2×3

= 6 - 6 + 6

= 6

a * b = ba−ba+ab

3*2, a = 3, b = 2

3*2 = 2×3 - 2×3 + 3×2

= 6 - 6 + 6

= 6

(2*3)×(3*2)

= 6 × 6

= 36

The answer is 36

7 0
3 years ago
The area of the triangle shown is 40.0 cm2.
kompoz [17]

Answer:

The height of the triangle is 6.4cm

Step-by-step explanation:

- If the triangle has a side that measures 12.5cm, it means that two of its sides are equal in length.

Which is equivalent to the description of an isosceles triangle.

To find the height, use the equation of the area.

Area = (Base * height) / 2

- We know the value of the area and its shorter side that could be the base.

40cm = (12.5 cm * h) / 2

- Clearing the height would give that:

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3 years ago
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Ratling [72]
I'm going to assume that this a true/false question, seeing as how you already have what t is supposed to equal.
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2 years ago
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Answer:

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Step-by-step explanation:

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