Question

two parallel side of isosceles trapezium are 31 cm and 15 CM its non parallel sides are equal to 17 cm find the area of trapezium​

Answer 1

Answer:

we know that the area of trapezium = 1/2 into × (Sum of parallel Sides) × height

Step-by-step explanation:

1/2×( 31+15)×17

1/2×(46)×17

1/2×782

Answer 391cm is the area

Answer 2

✨✨ Hey mate ✨✨

Here is the solution :-

Given ,

Parallel sides of Trapezium :-

S¹ = 15 cm

S² = 31 cm

Non parallel sides = 17 cm

Draw a line BG || DC .

Here we get ,

GC = (31-15) cm

=> 16 cm

Now , we got a Right angled triangle of

hypotenuse = BC = 17 cm

Base = GC = 16 cm

BG = Height.

As we know according to the Pythagorean triplet :-

c² = a² + b²

289 = a² + 256

a² = 289 - 256

a² = 33

a= 6 ( approxi.)

Height = 6 cm

Area of given Trapezium = 1/2 ( a + b) × h

=> 1/2 × 46 × 6

=> 138 cm²

Hope it will help you....

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