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

Mathematics

1 answer:

OlgaM077 [116]3 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

You might be interested in

Researchers studying two populations of wolves conducted a two-sample tt-test for the difference in means to investigate whether

Stells [14]

Answer:

A. Assuming that the mean weights of wolves in the populations are equal, the probability of obtaining a test statistic that is greater than 2.771 or less than −2.771 is 0.01.

Step-by-step explanation:

5 0

4 years ago

Please some help me!!!

DiKsa [7]

The mistake that was made is that she should of multiplied the fractions by the exponents first

6 0

3 years ago

The length of the shadow of a building is 150 meters, as shown below: The shadow of a building is 150 meters long. The acute ang

mafiozo [28]

So first you want to draw out you triangle and label everything so side a would be x, side b would be 15 and c would be x
next the angles need to be label
and finally the anwser is 150m

3 0

3 years ago

Read 2 more answers

What is the next term of the geometric sequence? 40/27, 20/9, 10/3, ??

kodGreya [7K]

Answer:

3/1

Step-by-step explanation:

8 0

3 years ago

Can someone help me with this problem.

Kryger [21]