Question

Triangle A has a height of 2.5\text{ cm}2.5 cm2, point, 5, start text, space, c, m, end text and a base of 1.6\text{ cm}1.6 cm1, point, 6, start text, space, c, m, end text. The height and base of triangle B are proportional to the height and base of triangle A

Answer 1

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

$\frac{2.5}{1.6}= 1.5625$

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

$\frac{2.75}{1.76}= 1.5625$

Compare

$1.5625= 1.5625$

therefore

Could be the height and base of triangle B

 B) Height :9.25 cm

Base:9.16 cm

$\frac{9.25}{9.16}= 1.0098$

Compare

$1.0098 \neq 1.5625$

therefore

It couldn't be the height and base of the B triangle.

C) Height: 3.2 cm

base: 5 cm

$\frac{3.2}{5}= 0.64$

Compare

$0.64 \neq 1.5625$

therefore

It couldn't be the height and base of the B triangle.

D)Height: 1.25 cm

Base:0.8 cm

$\frac{1.25}{0.8}= 1.5625$

Compare

$1.5625= 1.5625$

therefore

Could be the height and base of triangle B

E) height: 2 cm

base: 1.28 cm

$\frac{2}{1.28}= 1.5625$

Compare

$1.5625= 1.5625$

therefore

Could be the height and base of triangle B

Answer 2

Answer:

A, D & E

Step-by-step explanation:

Khan