4.In a right triangle ABC, ZB = 90°
a) If AB = 3cm, AC = 5cm, find BC.
b) If AB = 7cm, BC = 5cm, find AC
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Answer:
1) In right angle triangle. ABC by pythagoras theorem..
GIVEN AC= 5cm. and BC = 3cm...
FIND AB =?..
AC² = AB²+ BC².
5² = AB² + 3².
25 = AB² + 9.
AB² = 25 - 9
AB² = under root 16..
Then square root of 16 is 4...
So, AB = 4cm....
2) In right angle triangle. ABC By pythagoras theorem..
GIVEN. AB = 7cm and BC =5 cm..
FIND AC = ?
[ IN ABOVE ATTACHMENT... FIGURE WILL BE SAME FOR 2ND ANSWER ... JUST CHANGE. AB = 7cm. and BC = 5cm. And do ? for AC...] .
AC² = AB²+ BC².
AC² = 7² + 5².
AC² = 49 - 25. [Change the sign..from + to - ]
AC² = 24
AC² = under root..24
Then square root of 24..
AC = 12 cm....
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