The length of the sides of a right triangle are 8 cm. and 15 c.m. Find the length of its hypotenuse
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Answer:
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➬ Base (BC) = 8 cm. ➬ Perpendicular (AB) = 15 cm. ➬ Hypotenuse (AC) = ? ➬ AC = 17 Cm.
OR
According to the Pythagoras theorem, we have (Hypotenuse)2 = (Base)2 + (Height)2 Let c be hypotenuse and a and b be other two legs of right angled triangle Then we have
c2 = a2 + b2
c2 = 82 + 152
c2 = 64 + 225= 289
c = 17 cm
Step-by-step explanation:
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GIVEN :-
Base of right angled triangle = 8 cm.
Perpendicular of right angled triangle = 15 cm.
TO FIND :-
The hypotenuse of right angled triangle.
SOLUTION :-
➬ Base (BC) = 8 cm.
➬ Perpendicular (AB) = 15 cm.
➬ Hypotenuse (AC) = ?
☯ By Pythagoras theorem,
➬ AB² + BC² = AC²
➬ AC² = AB² + BC²
➬ AC² =
➬ AC² =
➬ AC² =
➬ AC =
➬ AC =
Hence hypotenuse of right angled triangle is 17 cm.
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