solve it triangles question .
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Answered by
14
➠ AnSwer :-
➝ 7 cm :-
is ur answer...
please mark as brainliest.
Answered by
5
GIVEN :-
- ∠ABC = 90°.
- BM is median .
- AB = 8 cm.
- BC = 6 cm.
TO FIND :-
- The Length of BM.
SOLUTION :-
☢ In right Triangle ABC by Pythagoras theorem ,
➣ AB² + BC² = AC²
➣ (8)² + (6)² = AC²
➣ 64 + 36 = AC²
➣ 100 = AC²
➣ √100 = AC
➣ 10 = AC
➣ AC = 10.
HENCE the Length of AC is 10 cm.
☢ Now come in right Triangle ABM,
➣ AC = 10 cm.
➣ AM = AC/2
Reason:- BM is a median.
➣ AM = 10/2
➣ AM = 5 cm.
Now Triangle ABM and BCM are both isosceles triangle having the common side BM Hence,
➣ AM = BM
➣ 5 cm = BM
➣ BM = 5 cm.
Hence the Length of BM is 5 cm.
HENCE OPTION (C) IS CORRECT ✔
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