contestada

N
In A FEG
point H is between points E and F. point J is between points
EH = 12, HF= 28, and FG = 50.
What is FJ?
Hint: Draw your triangle and enter values before writing and solving proportion.
OFJ = 35
O FJ = 12
OF) = 28
FJ = 50
O

N In A FEG point H is between points E and F point J is between points EH 12 HF 28 and FG 50 What is FJ Hint Draw your triangle and enter values before writing class=

Respuesta :

calculista

Answer:

[tex]FJ=35\ units[/tex]

Step-by-step explanation:

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

In this problem

Triangles FEG and FHJ are similar by AA Similarity Theorem

see the attached figure to better understand the problem

so

[tex]\frac{FJ}{FG}=\frac{FH}{FE}[/tex]

we have

[tex]FG=50\ units\\FH=28\ units\\FE=HF+EH=28+12=40\ units[/tex]

substitute

[tex]\frac{FJ}{50}=\frac{28}{40}[/tex]

[tex]FJ=\frac{28}{40}(50)[/tex]

[tex]FJ=35\ units[/tex]

Ver imagen calculista

Otras preguntas