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प्रश्न
Two equal sides of an isosceles triangle are 5y – 2 and 4y + 9 units. The third side is 2y + 5 units. Find ‘y’ and the perimeter of the triangle.
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उत्तर
Given that 5y – 2 & 4y + 9 are the equal sides of an isosceles triangle.
∴ The 2 sides are equal
⇒ 5y – 2 = 4y + 9
∴5y – 4y = 9 + 2 ...(by transposing)
∴ y = 11
∴ 1st side = 5y – 2 = 5 × 11 – 2 = 55 – 2 = 53
2nd side = 53
3rd side = 2y + 5 = 2 × 11 + 5 = 22 + 5 = 27
Perimeter is the sum of all 3 sides
∴ P = 53 + 53 + 27 = 133 units
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संबंधित प्रश्न
Write the given equation in statement form:
m − 7 = 3
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\[x - 3y - 2z\]
\[ 5x + 7y - z\]
- 7x - 2y + 4z
_______________
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a − [2b − {3a − (2b − 3c)}]
Write the following statement as an equation:
A number exceeds 5 by 3.
Verify by substitution that the root of 8 − 7y = 1 is y = 1
Write 'T' for true and 'F' for false for the statement given below:
`x=2/3` is solution of 2x + 5 = 8.
Two consecutive odd integers.
State which of the following are equations (with a variable). Give reason for your answer. Identify the variable from the equations with a variable.
7 − x = 5
Complete the table and find the solution to the equation m − 7 = 3.
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m
5
6
7
8
9
10
11
12
13
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m − 7
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