Advertisements
Advertisements
Question
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.
Advertisements
Solution
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
APPEARS IN
RELATED QUESTIONS
Complete the last column of the table.
| Equation | Value | Say, whether the Equation is Satisfied. (Yes/No) |
| x - 7 = 1 | x = 8 |
Check whether the value given in the bracket is a solution to the given equation or not:
4p − 3 = 13 (p = 0)
Add 2xy, 5xy, −xy
Add 3x, 2y
Simplify:
2a − 3b − [3a − 2b − {a − c − (a − 2b)}]
Write the following statement as an equation:
A number exceeds 5 by 3.
Solve the following equation by the trial-and-error method: x − 7 = 10
The length of a rectangular park is thrice its breadth. If the perimeter of the park is 168 metres, fund its dimensions.
Lalit earns Rs x per day and spends Rs y per day. How much does he save in 30 days?
In an equation a + b = 23. The value of a is 14 then the value of b is _______
