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Lerok [7]
2 years ago
12

Help anyone can help me do this question,I will mark brainlest.​

Mathematics
2 answers:
andrey2020 [161]2 years ago
5 0

Answer:

8 cm

Step-by-step explanation:

  1. AM = MC = BM = (1/2) BC => AM , MC , BM = 5, => BC = 10
  2. apply pytago => (AC ^ 2) + (AB ^ 2) = (BC ^2)
  3. AB = \sqrt{BC ^2  - AC ^2} = \sqrt{10 ^2 -  6 ^ 2} = 8 (cm)
Mars2501 [29]2 years ago
5 0

Answer:

4

Step-by-step explanation:

So first let's write the information we got

Angle BAC = 90 degrees

Midpoint of BC = M

AC = 6cm

Am= 5cm

Also I found MC = BM, since it has a line that represents both lines are same

so to find it we have to Pythagoras theorem (A^2 + B^2 = C^2), well it is question we have the 'A value and C Value', also we need to find the value of B to find the length of MC and BM

A = 5

C = 6

so therefore to find B^2, we have to do the reverse, we don't add but subtract

C^2 - A^2 = B^2

___________________________________________________________

Moving on to Calculation

6^2 - 5^2 = B^2

36 - 25 = B^2

B^2 = 9

B = √9

B = 3

MC and BM Length =  3 cm

____________________________

Now, we know the length we again need to use Pythagoras theorem to solve this.

Since we know

A = 5

B = 3

So..

A^2 + B^2 = C^2

5^2 + 3^2 = C^2

25 - 9 = C^2

C^2 = 16

C = √16

C = 4

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