Right 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. 48ft^2 72ft^2 144ft^2 864ft^2

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

can i get the link to the assignment?

step-by-step explanation:

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)