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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

Can someone please help with this questions? If I fail this test I will not pass this-example-1

1 Answer

3 votes

Answer:

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).

User Peteredhead
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