Question

RENT is a isosceles trapezium such that TN = 15cm ,TR = 7cm and the length between parallel sides is 6 cm fund the length of RE
please answer with proper steps

Answer 1

But its answer is 15+2sqrt13

Step-by-step explanation:

Answer 2

Concept-

An isosceles trapezium is the trapezium where the non parallel sides are equal in measure.

Given-

RENT is the isosceles trapezium specified  TN = 15 cm , TR = 7 cm , and the length between parallel sides is 6 cm.

Find-

We have to find the length of RE.

Solution-

Construct RO and EM perpendicular to TN i.e. , EM⊥TN

OT² + OR² = RT²            (Using Pythagoras theorem )

OT² = RT² - OR²

OT = √RT² - OR²

OT = √7² - 6²

OT = √49-36

OT = √13

∴ OT is 3.6 cm

As RENT is an isosceles trapezium , OT = MN

∴ MN = 3.6 cm

RE = OM , OM = NT - (OT + MN)

OM = 15 - ( 3.6 + 3.6 )

OM = 15 - 7.2

OM = 7.8 = RE

⇒ RE = 7.8 cm

Therefore, the length of RE is 7.8 cm.

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