EXU
fior
1 point
Q12. The sides of a triangle are
in the ratio of 3: 4:5. If its
perimeter is 36 cm, then what
is its area? *
O 32 cm Square
O 54 cm Square
O 67 cm Square
O 72 cm Square
Answers
Answered by
1
Step-by-step explanation:
Answer
Correct is option is
B 54 cm
2
Given;-
perimeter
=
36
let the ratio be x
therefore,
⇒ AB+ BC+ CA= 36
⇒ 3x+ 4x+ 5x= 36
⇒ 12x= 36
⇒x=
1 2
3 6
⇒x=3
Now, putting the value of x
AB= 3x= 9cm
BC= 4x= 12cm
AC= 5x= 15cm
On using Pythagoras theorem
AC
2
=AB
2
+BC
2
=
(9) 2
+
(12) 2
= 8 1 + 1 4 4
A C 2 = 2 2 5
AC=15cm
ΔABC is right angled triangle ∠B is right angle.
Area of
ΔABC=
2
1
AB×BC
=
2
1
×9×12
=54cm
2
hence,
Area of triangle is 54cm
2
Answered by
0
Answer:
ans is 54
Step-by-step explanation:
hoe this answer is correct
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