Question

Help me pls need help!!!

Answer 1

The measure of side EF is 26.2.

Explanation:

Since triangles ABC and DEF are similar, they will have the same measurement ratio. Using ratios, you can figure out side EF.

AB = 11
BC = 8
DE = 36
EF = ?

AB/BC = DE/EF
11/8 = 36/EF
EF = (8)(36)/11
EF = 26.2

Therefore, side EF measures 26.2.

Answer 2

Answer: EF = 26.2 units

Explanation:

We can set up a proportion to help us solve this question. Let the numerator be the left side (BC and EF) and the denominator be the bottom side (AB and DE). Let x be the length of EF.

`\displaystyle (BC)/(AB)=(EF)/(DE)`

We will substitute our known values from the given triangles.

`\displaystyle (8)/(11)=(x)/(36)`

Now, we will cross-multiply.

11 * x = 8 * 36

11x = 288

Lastly, we will divide both sides of the equation by 11. Then we will round to the nearest tenth as given (8 > 5, round up)

x = 26.181818 ≈ 26.2