Look at the two triangular flags below.
What is the length of the side BC of triangle ABC?
8 cm
26 cm
5 cm
32 cm
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OpenStudy (anonymous):
OpenStudy (anonymous):
Whoever helps Ill give a medal promise :)
OpenStudy (ajprincess):
First let us prove that the two triangles are congruent.
<BAC=<FDE
AC=DF
<ABC+<DEF
Therefore the two triangles are congruent by ASA.
Nw since they are congruent
BC=EF
3x+2=4x-6
2+6=4x-3x
x=8
So BC=3*8+2=24+2=26
Is it clear?
OpenStudy (anonymous):
Omg got it thankssss so much!!
OpenStudy (ajprincess):
U r welcome.:)
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OpenStudy (anonymous):
wanna help more ? :D
OpenStudy (ajprincess):
sure.
OpenStudy (anonymous):
Look at the two triangular sign boards below.
Which pair of equations is correct?
x = 70 and y = 55
x = 3 and y = 65
x = 4 and y = 4
x = 4 and y = 50
OpenStudy (ajprincess):
Here too the triangles are congruent.
so
y+5=55
y=55-5
y=50
15x+10=70
15x=70-10
15x=60
x=60/15
x=4
OpenStudy (ajprincess):
is it clear?
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