Question

Can someone please help with this questions?

If I fail this test I will not pass this class
Please help as fast as possible!!
Please

Answer 1

5a. ΔGKM ~ ΔSPM by SAS

b. ΔABC is not similar to ΔDEF

6. The missing side is 2
`√(11)`

Explanation:

5a. Yes, the triangles are similar.

<KMG ≅ <PMS (vertically opposite angles)

ΔGKM ~ ΔSPM by SAS

Ratio: GM:SM OR KM:PM

3:6 OR 2:4

1:2 OR 1:2

Ratio: 1:2

b. No, the triangles are not similar

ΔABC is not similar to ΔDEF

Ratio: AC:DF OR AB:DE

4:6 OR 2:4.5

1:1.5 ≠ 1:2.25

Ratio: not similar

6. let the missing side of the triangle be represented by x. Since the triangle is a right angled triangle, then applying the Pythagoras theorem we have;

`/hyp/^(2)` =
`/adj 1/^(2)` +
`/adj2/^(2)`

`/12/^(2)` =
`x^(2)` +
`/10/^(2)`

144 =
`x^(2)` + 100

`x^(2)` = 144 - 100

= 44

x =
`√(44)`

=
`√(4 *11)`

= 2
`√(11)`

x = 2
`√(11)`

The missing side is 2
`√(11)`.