In triangle ABC shown find BC.
B
(5d - 3)cm
(3d + 7)cm
A
C

BC = 22

Step-by-step explanation:

Hey There!

So if you see those two red lines on each side of the triangle than that indicates that the sides are congruent to each other  so the first step is to right an equation to solve for d and because the sides are congruent the equation would be

5d-3=3d+7 and now we just solve for d

step 1 subtract 3d from each side

5d-3d=2d

3d-3d cancels out

now we have

2d-3=7

step 2 add 3 to each side

-3+3 cancels out

3+7=10

now we have

2d=10

step 3 divide each side by 2

2/2 cancels out

10/2=5

d=5

Now we just plug in 5 for d for side bc

3x5=15

15+7=22

so BC = 22

The1AndOnlyMarkus

22

Step-by-step explanation:

make the two sides measurements equal. solve for d..

d=5... substitute d in bc formula and u should get 22

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!