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Practical Geometry Test - 1

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Practical Geometry Test - 1
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  • Question 1
    1 / -0

    △ ABC is right-angled at C. If AC = 5 cm and BC = 12 cm find the length of AB.

    Solution

    Explanation:

    If ΔABC is right angle triangle then angle

    (hypo)2 = (side)2 + (side)2

    (hypo)2  = 122 + 52

    (hypo)2   = 144 +  25

    (hypo)2  = 169

    (hypo) =√169

    Hypo = 13 cm

    So AB = 13 cm

     

  • Question 2
    1 / -0

    In the Pythagoras property, the triangle must be ___________ .

    Solution

    Explanation:

    Pythagorean Theorem, provides us with the relationship between the sides in a right triangle. A right triangle consists of two legs and a hypotenuse. The two legs meet at a 90° angle and the hypotenuse is the longest side of the right triangle and is the side opposite the right angle.

     

  • Question 3
    1 / -0

    The sum of the lengths of any two sides of a triangle is _____________ the third side of the triangle.

    Solution

    Explanation:

    According to property Sum of the Lengths of Two Sides of a Triangle : The sum of the lengths of any two sides of a triangle is greater than the third side.

     

  • Question 4
    1 / -0

    A triangle in which two sides are of equal lengths is called _______________.

    Solution

    Explanation:

    Triangle with two sides of equal length are called isosceles triangle and the two angles opposite to sides of equal length is also equal.

     

  • Question 5
    1 / -0

    How many altitude can a triangle have?

    Solution

    Explanation:

    A triangle can have 3 altitudes drawn on all 3 sides only.

     

  • Question 6
    1 / -0

    A/an _____________ connect a vertex of a triangle to the mid-point of the opposite side.

    Solution

    Explanation:

    A median of a triangle is a line segment joining a vertex to the midpoint of the opposite side.

     

  • Question 7
    1 / -0

    How many medians a triangle can have?

    Solution

    Explanation:

    A median of a triangle is a line segment joining a vertex to the midpoint of the opposite side. A triangle therefore has three medians.

     

  • Question 8
    1 / -0

    In any right-angled triangle, the square of the length of hypotenuse is equal to the ____ of the squares of the lengths of the other two sides.

    Solution

    Explanation:

    The Pythagorean Theorem is the statement that the sum of the two small squares equals the big one.

    In algebraic terms, a² + b² = c² where c is the hypotenuse while a and b are the legs of the triangle.

     

  • Question 9
    1 / -0

    In any right-angled triangle, the square of the length of ______ is equal to the sum of the squares of the lengths of the other two sides.

    Solution

    Explanation:

    Pythagorean theorem

    In any right-angled triangle, the square of the length of hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

     

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