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Sagot :
To solve for the length of the base [tex]\( b \)[/tex] of an isosceles triangle given that its perimeter is 15.7 centimeters and the lengths of the two equal sides are [tex]\( a \)[/tex], we follow these steps:
1. Understand the given information and the equation:
- The perimeter of an isosceles triangle is given as 15.7 cm.
- The lengths of the two equal sides are represented by [tex]\( a \)[/tex].
- The length of the base is represented by [tex]\( b \)[/tex].
- The equation modeling the perimeter of the triangle is:
[tex]\[ 2a + b = 15.7 \][/tex]
2. Rearrange the equation to solve for [tex]\( b \)[/tex]:
- Begin with the given equation:
[tex]\[ 2a + b = 15.7 \][/tex]
- Subtract [tex]\( 2a \)[/tex] from both sides of the equation to isolate [tex]\( b \)[/tex]:
[tex]\[ b = 15.7 - 2a \][/tex]
3. Conclusion:
- The length of the base [tex]\( b \)[/tex] in terms of the length of the sides [tex]\( a \)[/tex] is:
[tex]\[ b = 15.7 - 2a \][/tex]
This equation tells us how to find the length of the base if we know the length of the two equal sides of the isosceles triangle.
1. Understand the given information and the equation:
- The perimeter of an isosceles triangle is given as 15.7 cm.
- The lengths of the two equal sides are represented by [tex]\( a \)[/tex].
- The length of the base is represented by [tex]\( b \)[/tex].
- The equation modeling the perimeter of the triangle is:
[tex]\[ 2a + b = 15.7 \][/tex]
2. Rearrange the equation to solve for [tex]\( b \)[/tex]:
- Begin with the given equation:
[tex]\[ 2a + b = 15.7 \][/tex]
- Subtract [tex]\( 2a \)[/tex] from both sides of the equation to isolate [tex]\( b \)[/tex]:
[tex]\[ b = 15.7 - 2a \][/tex]
3. Conclusion:
- The length of the base [tex]\( b \)[/tex] in terms of the length of the sides [tex]\( a \)[/tex] is:
[tex]\[ b = 15.7 - 2a \][/tex]
This equation tells us how to find the length of the base if we know the length of the two equal sides of the isosceles triangle.
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