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5 votes
Consider the original triangle and the reduction.

A triangle has a base A and height 8 centimeters. Another triangle has a base of 3 centimeters and height of 4 centimeters.


What is the length of side A in centimeters?

User Jim Gay
by
5.2k points

1 Answer

7 votes

answer

6 cm.

Step-by-step explanation:

Since they've given use the area of the triangle, we can use the area formula to find the base of the triangle.

The formula to find the area of a triangle is:

a

=

1

2

h

b

(

h = height

,

b= base

)

We know:

a

=

24

h

=

8

So we can substitute them in and find

b

:

24

=

1

2

(

8

)

b

Multiply by sides by 2 and then divide:

24

×

2

=

1

2

(

8

)

b

×

2

48

=

8

b

6

=

b

The base of the triangle is

6 cm.

ur welcome ♥️♥️

User IvanSanchez
by
5.0k points