find its base and hight
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Answer:
are of tri.= 1/2 ×hight×base
108 = 1/2×2x×3x
54=6x
x=9
Step-by-step explanation:
hight= 2×9=18
base=3×9=27
dear here is ur correct answer with correct explanation
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Solution :
Here, it is given that base of the triangle and height of the triangle are in ratio 3 : 2 and their area is 108cm².
Let
- Base of the triangle = 3x
- Height of the triangle = 2x
As we know that
Area of a triangle = ½ × b × h
Where
- b = base of the triangle
- h = height of the triangle
Now, according to question :
➠ Area of the triangle = ½ × 3x × 2x
➠ 108 = ½ × 3x × 2x
➠ 108 = ½ × 6x²
➠ 108 = 3x²
➠ 108/3 = x²
➠ x² = 36
➠ x = √36
➠ x = 6cm
Put the value of x in the ratio
- base of the triangle = 3x = 3(6) => 18cm
- height of the triangle = 2x = 2(6) => 12cm
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