![paolaviviana](/avatars/32503.jpg)
paolaviviana
05.07.2019 •
Mathematics
Points s and t are midpoints of the sides of triangle fgh what is gf ?
Solved
Show answers
More tips
- F Family and Home How to Get Rid of Your Neighbors?...
- S Society and Politics How Could Nobody Know About the Dead Mountaineers?...
- H Health and Medicine How to Cure Adenoids?...
- H Health and Medicine Why Wearing a Back Brace Can Be Beneficial During Back Strain?...
- S Sport When and Where Will the 2014 World Cup be Held?...
- C Computers and Internet How to Choose a Monitor?...
- H Horoscopes, Magic, Divination Where Did Tarot Cards Come From?...
- S Style and Beauty How to Make Your Lips Fuller? Ideas and Tips for Beautiful Lips...
- C Computers and Internet How to Learn to Type Fast?...
Answers on questions: Mathematics
- M Mathematics Jamie will choose between two catering companies for an upcoming party company a charges a set up fee of$500 plus $25 for each guest Company B charges a set up fee of $200 plus...
- M Mathematics The points (1,-16) and (5,r lie on a line with slope 3. Find the missing coordinate r ....
- M Mathematics A 13.5 m fire truck ladder is leaning against a wall. Find the distance the ladder goes up the wall if it makes an angle of 43.8° with the ground....
- E English 1. spring is still a long way off. 1-2. spring is still a long way away. 2. spring is still far off. 3. spring is still far away. can we use all the sentences?...
- B Business Help needed on this question...
- M Mathematics 2.79 ? 2.790 Are they equal or which one is greater...
- B Biology Reorder the steps in the production of urine in the urinary system. In the production of urine, the ureters filter the bloodstream first, producing urine. Then, the urine travels...
Ответ:
Using triangle similarity theorems, GF is 16 cm (fourth option)
Step-by-step explanation:
If points S and T are midpoints of the sides of triangle FGH, the segment ST is parallel to the side GF and the triangles FGH and TSH are similars, and their corresponding sides must be proportionals, then:
GF/ST=FH/TH=GH/SH
TH=6 cm→FT=6 cm, because T is the midpoint of side FH, and:
FH=2 TH = 2 FT =2 (6 cm)→FH=12 cm
GS=4 cm→SH=4 cm, because S is the midpoint of side GH, and:
GH=2 GS = 2 SH =2 (4 cm)→GH=8 cm
ST= 8 cm
Replacing the known values in the proportion:
GF/ST=FH/TH=GH/SH
GF/(8 cm)=(12 cm)/(6 cm)=(8 cm)/(4 cm)
GF/(8 cm)=2=2
GF/(8 cm)=2
Solving for GF: Multiplying both sides of the equation by 8 cm:
(8 cm) [GF/(8 cm)]=(8 cm)(2)
GF=16 cm
Ответ:
If Points S and T are midpoints of the sides of triangle FGH, the measure of the length GF is 16cm. Option D is correct
To get the length of Gf, we will need to use the similarity theorem of a triangle as shown:
HT/TS = HF/Gf
From the diagram, we have the following:
HT = FT = 6cm
ST = 8cm
Substitute the given parameters into the formula to have:
6/8 = 6+6/GF
6/8 = 12/GF
6FG = 96
FG = 96/6
FG = 16cm
Hence the measure of the length GF is 16cm
Learn more here: link
Ответ:
The answer is c
the decimal is one and they are two numbers behind that so 100 and the number is 13 we just learned this i just got to of math class
Hope this helps