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2 years ago

Given: △ABC, m∠B=90° AB=12, BC=16, BK ⊥ AC . Find: AC and BK. Please explain how to find out BK

Mathematics

2 answers:

Kryger [21]2 years ago

7 0

Answer:

Given: △ABC, m∠B=90° AB=12, BC=16, BK ⊥ AC . Find: AC and BK.

Given: △ABC, m∠B=90°

Find: AC and BK.

Short leg 90 degrees Long leg Hypotenuse

AB=12 90 BC=16 AC= ?

AK = ? 90 BK = ? AB=12

AC = SQRT (AB*AB + BC*BC) = 20 [right triangle; Pythagorean Theorem]

Similar triangles:[Note: In diagram, share two angles. Therefore share three angles]

BK / 16 = AB / AC

BK / 16 = 12 / 20

BK = (3/5)16

BK = 48/5

another answer let see this

AB^2+BC^2=AC^2

12^2+16^2=AC^2

144+256=AC^2

400=AC^2

20=AC

# be careful#

goldenfox [79]2 years ago

6 0

Answer: BK = 9.6

Step-by-step explanation: The equation of the line AC is y = (-3/4)x + 12. The line perpendicular to AC and passing through point B is y = (4/3)x. The point of intersection between BK amd AC is (144/25, 192/25). Those are the side lengths. Use Pythagorean theorem to find the hypotenuse.

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marishachu [46]

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3 years ago

If f(x)=16x- 30 and g(x)= 14x-6, for which value of x does (f-g)(x)=0?

Georgia [21]

Answer:

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2 years ago

Can you identify these numbers as rational or irrational. Please explain.<br><br> -√127 and 291.87

irina [24]

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3 years ago

Geometry 10 Unit 7 Circles Test Question 16

Sergio039 [100]

X is 15

$8x - 10 + 6x + 10x + 10 = 360 \\ 8x + 6x + 10x = 10 - 10 + 360 \\ 24x = 360$
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good luck

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4 years ago

Ruby uses 1/4 yard of ribbon to make 2 bows.Which expression shows the length of ribbon in each bow?

allochka39001 [22]

What you can do in this case is a rule of three to determine the length of each bow.
We have then:
1/4 ---> 2
x ------> 1
Clearing x we have:
x = (1/2) * (1/4)
x = 1/8
Answer:
the length of ribbon in each bow is
x = 1/8
Equivalently:
x = (1/4) / 2
Option 3

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3 years ago

Given: △ABC, m∠B=90° AB=12, BC=16, BK ⊥ AC . Find: AC and BK. Please explain how to find out BK​

Given: △ABC, m∠B=90° AB=12, BC=16, BK ⊥ AC . Find: AC and BK. Please explain how to find out BK