Question

an isosceles trapezium has a perimeter of (7x-5)cm. what is the length of each of its two equal sides if its third side is (x-1)cm

Answer 1

Answer:

From given statement:

In △ADC

EO∣∣AB∣∣DC

By thales theorem:

ED

AE

=

OC

AO

...(1)

In △DAB

EO∣∣AB

So, By thales theorem:

EA

DE

=

OB

DO

...(2)

From (1) and (2)

OC

AO

=

OB

DO

(2x+1)

(5x−7)

=

(7x+1)

(7x−5)

(5x−7)(7x+1)=(7x−5)(2x+1)

35x

2

+5x–49x–7=14x

2

–10x+7x−5

35x

2

−14x

2

–44x+3x−7+5=0

21x

2

−42x+x−2=0

21(x−2)+(x−2)=0

(21x+1)(x−2)=0

Either (21x+1)=0 or (x–2)=0

x=

21

−1

(does not satisfy) or x=2

⇒x=2.

Step-by-step explanation:

help you hopeful