Question

What’s the answer to this question i need help teaching my sibling

Answer 1

a) 10.7

b) ΔABE~ΔACD | Angle Angle Similarity

1) Analyzing that triangle, and considering they are similar we can write out the following to find x

a) If they are similar their corresponding sides are proportional, therefore we can write a pair of ratios.

`\begin{gathered} (x)/(24)=(8)/(18) \\ \\ 18x=192 \\ \\ (18x)/(18)=(192)/(18) \\ \\ x\approx10.7 \end{gathered}`

The smallest hypotenuse over the largest hypotenuse as well as there is a proportionality between those two corresponding legs 8 and 18.

b) In the last statement of that proof table, we can tell that the last line is well written as:

ΔABE~ΔACD | Angle Angle Similarity

The Angle Angle Similarity states that:

Note that in that table there are two instances in which there is a reference to two congruent angles.