Advertisements
Advertisements
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.
Advertisements
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
APPEARS IN
संबंधित प्रश्न
Complete the last column of the table.
| Equation | Value | Say, whether the Equation is Satisfied. (Yes/No) |
| `m/3 = 2` | m = 6 |
Write the given equation in statement form:
2m = 7
Add x2 − a2, −5x2 + 2a2, −4x2 + 4a2
Simplify:
4x − (3y − x + 2z)
Verify by substitution that the root of 5x − 8 = 2x − 2 is x = 2
Solve the following equation by the trial-and-error method: `1/2x+7=11`
Five times the price of a pen is Rs 17 more than three times its price. Find the price of the pen.
For any two integers x and y, which of the following suggests that operation of addition is commutative ?
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
Pick out the solution from the values given in the bracket next to each equation. Show that the other values do not satisfy the equation.
5m = 60 (10, 5, 12, 15)
