Advertisements
Advertisements
Question
Two diagonals of an isosceles trapezium are x cm and (3x – 8) cm. Find the value of x.
Advertisements
Solution
∵ The diagonals of an isosceles trapezium are of equal length
∴ 3x – 8 = x
⇒ 3x – x = 8 cm
⇒ 2x = 8 cm
⇒ x = 4 cm
∴ The value of x is 4 cm
APPEARS IN
RELATED QUESTIONS
The perimeter of a parallelogram is 22 cm . If the longer side measures 6.5 cm what is the measure of the shorter side?
In a quadrilateral, define of the following Opposite sides .
The angles of a quadrilateral are 110°, 72°, 55° and x°. Find the value of x.
Complete the following statement by means of one of those given in brackets against each:
If one pair of opposite sides are equal and parallel, then the figure is ........................
Use the information given in the following figure to find the value of x.
Angle A of an isosceles trapezium ABCD is 115°; find the angles B, C and D.
In a quadrilateral ABCD, ∠A = 72° and ∠C is the supplementary of ∠A. The other two angles are 2x – 10 and x + 4. Find the value of x and the measure of all the angles
A quadrilateral can have all four angles as obtuse.
Using the information given, name the right angles in part of figure:
AC ⊥ CD
Draw a rough sketch of a quadrilateral KLMN. State two pairs of opposite sides.
