Answer:
A)Height: 2.75 CM
Base: 1.76 CM
D)Height: 1.25 cm
Base:0.8 cm
E) height: 2 cm
base: 1.28 cm
Step-by-step explanation:
The complete question is
Triangle A has a height of 2.5 cm and a base of 1.6 cm The height and base of triangle B are proportional to the height and base of triangle A.
Which of the following could be the height and base of triangle B?
Choose 3 answers:
A)Height: 2.75 CM
Base: 1.76 CM
B) Height :9.25 cm
Base:9.16 cm
C)Height: 3.2 cm
base: 5 cm
D)Height: 1.25 cm
Base:0.8 cm
E) height: 2 cm
base: 1.28 cm
we know that
If the height and base of triangle B are proportional to the height and base of triangle A, then their ratios of the height to the base must be equal
step 1
Find out the ratio of the height to the base of triangle A
so
[tex]\frac{2.5}{1.6}= 1.5625[/tex]
step 2
Verify the ratio of the height to the base of each case and then compare with ratio of triangle A
A)Height: 2.75 CM
Base: 1.76 CM
[tex]\frac{2.75}{1.76}= 1.5625[/tex]
Compare
[tex]1.5625= 1.5625[/tex]
therefore
Could be the height and base of triangle B
B) Height :9.25 cm
Base:9.16 cm
[tex]\frac{9.25}{9.16}= 1.0098[/tex]
Compare
[tex]1.0098 \neq 1.5625[/tex]
therefore
It couldn't be the height and base of the B triangle.
C) Height: 3.2 cm
base: 5 cm
[tex]\frac{3.2}{5}= 0.64[/tex]
Compare
[tex]0.64 \neq 1.5625[/tex]
therefore
It couldn't be the height and base of the B triangle.
D)Height: 1.25 cm
Base:0.8 cm
[tex]\frac{1.25}{0.8}= 1.5625[/tex]
Compare
[tex]1.5625= 1.5625[/tex]
therefore
Could be the height and base of triangle B
E) height: 2 cm
base: 1.28 cm
[tex]\frac{2}{1.28}= 1.5625[/tex]
Compare
[tex]1.5625= 1.5625[/tex]
therefore
Could be the height and base of triangle B
