the perimeter of right angle triangle is 60. its hypotenuse is 25 cm .find its area
anuj93:
is 60 in cm
yes
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cool it's one of the interesting questions .
okey let's solve this now .
let the sides of the triangle be A,B,C
and A be the hypotenuse
perimeter of the given triangle =60cm
A+B+C=60cm
B+C=60-25=35
now, we have B+C=35
square both the side
(B+C)²=35²=1225
B²+C²+2BC=1225 consider it as equation no.1
by Pythagoras theorem
B²+C²=A²
B²+C²=25²=625cm²
substituting it in equation no.1
B²+C²+2BC=1225
625+2BC=1225
2BC=1225-625=600
multiplying 1/4 on both the sides
2BC×1/4=600×1/4
1/2(BC)=150cm²[note that B and C are the base and height of the triangle and the area of a triangle is half of the base time height]
hope this helped you
okey let's solve this now .
let the sides of the triangle be A,B,C
and A be the hypotenuse
perimeter of the given triangle =60cm
A+B+C=60cm
B+C=60-25=35
now, we have B+C=35
square both the side
(B+C)²=35²=1225
B²+C²+2BC=1225 consider it as equation no.1
by Pythagoras theorem
B²+C²=A²
B²+C²=25²=625cm²
substituting it in equation no.1
B²+C²+2BC=1225
625+2BC=1225
2BC=1225-625=600
multiplying 1/4 on both the sides
2BC×1/4=600×1/4
1/2(BC)=150cm²[note that B and C are the base and height of the triangle and the area of a triangle is half of the base time height]
hope this helped you
Thank you so much.
u r welcome ;)
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thanks brother
........
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1
It is most logically questions
please send me more questions of this type
please send me more questions of this type
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nice dude very very thankful to u
the question was a bit difficult too :)
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