Home
Class 12
MATHS
One leg of a right triangle is 1 cm shor...

One leg of a right triangle is 1 cm shorter than the other leg and the hypotenuse is 2cm longer than the longer leg . What is the length of the longer leg ?

A

`2+2sqrt3`

B

`3+2sqrt3`

C

`5+2sqrt3`

D

`3-2sqrt3`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PRACTICE TEST

    ENGLISH SAT|Exercise MATH TEST (WITH CALCULATOR)|37 Videos
  • POLAR COORDINATES

    ENGLISH SAT|Exercise EXERCISES|3 Videos
  • PRACTICE TEST 1

    ENGLISH SAT|Exercise EXERCISE|60 Videos

Similar Questions

Explore conceptually related problems

What is the length of leg B ?

The area of right triangle is 35 square inches. If the longer leg is 3 inches longer than the shorter leg, what is the length of the hypotenuse, in inches ?

The altitude of a right triangle is 7 cm less than its base. If the hypotenuse is 13 cm, find the other two sides.

Vikram wishes to fit three rods together in the shape of a right triangle. The hypotenuse is to be 2 cm longer than the base and 4 cm longer than the altitude. What should be the lengths of the rods

The perimeter of a triangle is 50 cm . One side of the triangle is 4 cm longer than the smaller side and the third side is 6 cm less than twice the smaller side. Find the area of the triangle.

The two legs of a right triangle are equal and the square of its hypotenuse is 50cm^(2) . Find the length of each leg.

The two legs of a right triangle are equal and the square of the hypotenuse is 50. Find the length of each leg.

The height of a right triangle is 7cm less than its base. If the hypotenuse is 13cm, form the quadratic equation to find the base of the triangle.

The hypotenuse of a right triangle is 6 m more than the twice of the shortest side. If the third side is 2 m less than the hypotenuse, find the sides of the triangle.

The longest side of a right angled triangle is 4cm longer than one side and 2 cm longer than the other side. Find the longest side.

ENGLISH SAT-PRACTICE TEST -MATH TEST (WITH CALCULATOR)
  1. A scale drawing of a new building has 1/2 inch representing 40 feet . ...

    Text Solution

    |

  2. Which of the following could be the graph of 2x+3y+12=0 ?

    Text Solution

    |

  3. One leg of a right triangle is 1 cm shorter than the other leg and the...

    Text Solution

    |

  4. A cookie store's weekly profit is a function of the number of cookies ...

    Text Solution

    |

  5. A square piece of cardbroad measuring x inches by x inches is to be us...

    Text Solution

    |

  6. If the line y+2x+3=0 is parallel to the line 2y-px-4=0 , what is the v...

    Text Solution

    |

  7. The original price of a shirt is x dollars. During a sale , the origin...

    Text Solution

    |

  8. A certain radioactive element has a half-life of one year. This means ...

    Text Solution

    |

  9. In a contest , each contestant could receive a score of 6,7,8,9, or 10...

    Text Solution

    |

  10. An office buys a photocopier for $5,800 with a servicing fee of $25 a ...

    Text Solution

    |

  11. Hooke's law states that the force needed to keep a spring stretched x ...

    Text Solution

    |

  12. The monthly cost C of driving a car depends on the number of miles dri...

    Text Solution

    |

  13. Three runners complete in a 100-meter obstacle race. The graph above d...

    Text Solution

    |

  14. The frequency chart above shows the prices of a gallon of milk in 15 s...

    Text Solution

    |

  15. 0.06x + 0.045(100,000-x)=5,025 The equation above represents the fol...

    Text Solution

    |

  16. As dry air moves upward , it expands and cools. If the temperature on ...

    Text Solution

    |

  17. If the expression (3x^2)/(x+2) is written in the equivalent form 12/(x...

    Text Solution

    |

  18. Because of anticipated heavy rain , the water level in a swimming pool...

    Text Solution

    |

  19. The table above shows the relative abundance of mosquitoes (as measure...

    Text Solution

    |

  20. The graph above shows the size of a certain population after time t. W...

    Text Solution

    |