What is the length of DF? Round to the nearest hundredth.

Mathematics

1 answer:

OlgaM077 [116]2 years ago

3 0

Answer:

7.06

Step-by-step explanation:

This triangle can be solved a couple of ways. In the end, they amount to the same thing.

1) The area is ...

A = 1/2bh = 1/2(8)(15) = 60 . . . using DG as the base

Using GE as the base, the height (DF) is ...

A = (1/2)(17)(DF)

2(60)/17 = DF = 120/17

DF ≈ 7.06

2) Using similar triangles, we can find the ratio of the long side to the hypotenuse as ...

(long side)/(hypotenuse) = DE/GE = DF/DG

DF = DG(DE/GE) = 8(15/17) = 120/17

DF ≈ 7.06

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finlep [7]

If you would like to solve the system of equations, you can do this using the following steps:

-3x + 4y = 12
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2 years ago

1) 1, 4, 16, 64, ... CR=L Next 3 Terms:

avanturin [10]

Answer:

256, 1024, 4096.

Step-by-step explanation:

The rule is x*4.

--> 1*4 = 4.

--> 4*4 = 16.

--> 16*4 = 64.

--> 64*4 = 256.