**Identify trapeziums :**

What is trapezium ?

A quadrilateral in which one pair of opposite sides is parallel called trapezium.

Various types of trapeziums are,

- A right trapezoid
- An acute trapezoid
- obtuse trapezoid
- isosceles trapezoid
- parallelogram

**Right trapezoid :**

A right trapezoid (also called right-angled trapezoid) has two adjacent right angles. Right trapezoids are used in the trapezoidal rule for estimating areas under a curve.

**Acute trapezoid :**

An acute trapezoid has two adjacent acute angles on its longer base edge

**Obtuse trapezoid :**

An obtuse trapezoid has one acute and one obtuse angle on each base.

**Isosceles trapezoid :**

An isosceles trapezoid is a trapezoid where the sides (legs) have the same length, and the base angles have the same measure. It has reflection symmetry. This is possible for acute or right trapezoids.

**Parallelogram : **

A parallelogram is a trapezoid with two pairs of parallel sides. A parallelogram has central 2-fold rotational symmetry (or point reflection symmetry). It is possible for obtuse or right trapezoids.

A tangential trapezoid is a trapezoid that has an incircle.

Area = (1/2) (a + b) x h

**Example 1 :**

In a trapezium the measurement of one parallel side two more than the other parallel side and the height is 4 cm. The area of the trapezium is 64 cm². Find the two parallel sides.

**Solution :**

Area of the trapezium = 64 cm²

Let "a" and "b" are two parallel sides

One parallel side is two more than the other parallel side. So we can assume b as a + 2

**Area of a trapezium = (1/2) (a + b) x h**

(1/2) (a + b) x h = 64

(1/2) (a + a + 2) x 4 = 64

(1/2) (2a + 2) x 4 = 64

2 (2a + 2) = 64 ==> 2a + 2 = 32

2a = 30 ==> a = 15 cm

b = a + 2 ==> b = 15 + 2 ==> b = 17 cm

Therefore the two parallel sides are 15 cm and 17 cm.

**Example 2 :**

The height of a trapezoid is 8 in. and its area is 96 square inches. One base of the trapezoid is 6 inches longer than the other base. What are the lengths of the bases?

**Solution :**

here, h = 8 inches

Area of the trapezoid = 96 square inches

base lengths are b₁ and b₂ respectively.

b₁ = b₂ + 6

(1/2) x 8 (b₂ + 6 + b₂) = 96

4 (2b₂ + 6) = 96

2b₂ + 6 = 24

2b₂ = 18

b₂ = 9

By applying the value of b₂ in the equation b₁ = b₂ + 6, we get

b₁ = 9 + 6 ==> b₁ = 15 inches

Hence, base lengths are 9 inches and 15 inches

After having gone through the stuff given above, we hope that the students would have understood "Identify trapeziums".

Apart from the stuff given above, if you want to know more about "Identify trapeziums", please click here

Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

HTML Comment Box is loading comments...

**WORD PROBLEMS**

**HCF and LCM word problems**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**Word problems on comparing rates**

**Converting customary units word problems **

**Converting metric units word problems**

**Word problems on simple interest**

**Word problems on compound interest**

**Word problems on types of angles **

**Complementary and supplementary angles word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**Pythagorean theorem word problems**

**Percent of a number word problems**

**Word problems on constant speed**

**Word problems on average speed **

**Word problems on sum of the angles of a triangle is 180 degree**

**OTHER TOPICS **

**Time, speed and distance shortcuts**

**Ratio and proportion shortcuts**

**Domain and range of rational functions**

**Domain and range of rational functions with holes**

**Graphing rational functions with holes**

**Converting repeating decimals in to fractions**

**Decimal representation of rational numbers**

**Finding square root using long division**

**L.C.M method to solve time and work problems**

**Translating the word problems in to algebraic expressions**

**Remainder when 2 power 256 is divided by 17**

**Remainder when 17 power 23 is divided by 16**

**Sum of all three digit numbers divisible by 6**

**Sum of all three digit numbers divisible by 7**

**Sum of all three digit numbers divisible by 8**

**Sum of all three digit numbers formed using 1, 3, 4**

**Sum of all three four digit numbers formed with non zero digits**