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Hi can someone help me with this?​

Hi can someone help me with this?​-example-1

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9 votes

Answer:

SN = √29 cm = 5.39 cm (2 dp)

Explanation:

Using the given information, we can create a new right triangle with hypotenuse SN, then use Pythagoras' Theorem to find the length of SN.

Extend the line SU to the left until it is under point N → label this point P. Connect point P to point N. This creates a new right triangle (see attachment).

If BU = 4 cm, and M is the midpoint of BU, then UM = 2 cm

⇒ PN = UM = 2 cm

As NM = 2, then PU = 2 cm

⇒ PS = PU + US = 2 + 3 = 5 cm

Therefore, the two legs of the right triangle with SN as its hypotenuse are 2 cm and 5 cm.

Using Pythagoras' Theorem:

⇒ a² + b² = c²

⇒ 2² + 5² = SN²

⇒ 4 + 25 = SN²

⇒ SN² = 29

SN = √29 cm = 5.39 cm (2 dp)

Hi can someone help me with this?​-example-1
User Beej
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