Aright triangle has an area of 24ft^2. the dimensions of the triangle are increased by a scale factor of 6. what is the area of the new triangle

Step-by-step explanation:

we know that

The area of a triangle is equal to

-------> ------> equation A

where

b is the base of the triangle

h is the height of the triangle

In this problem the dimensions of the triangle are increased by a scale factor of

so

the new dimensions of the triangle are

The new area of the triangle will be

------> equation B

Substitute equation A in equation B

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.