Which of the following statements is INCORRECT? A. FE = 58
B. DE = 58
C. x = 8
D. DF = 40

An isosceles triangle has two equal opposites sides

The correct statements are

A. FE = 58

A. FE = 58C. x = 8

A. FE = 58C. x = 8D. DF = 40

incorrect statement is

B. DE = 58

Given:

Side DE = 40

Side FE = 6x + 10

Side DF = 8x - 24

Recall,

DF = DE

8x - 24 = 40

8x = 40 + 24

8x = 64

x = 64 / 8

x = 8

Therefore,

Side FE = 6x + 10

= 6(8) + 10

= 48 + 10

= 58

Side DF = 8x - 24

= 8(8) - 24

= 64 - 24

= 40

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Given:

In figure, ΔDEF has two equal angles ∠E and ∠F.

To find:

The incorrect statement from the given options.

Solution:

In triangle DEF,

           (Given)

           (Base angles are equal, so it is an isosceles triangle)

Divide both sides by 8.

Now,

       (Isosceles triangle)

Therefore, x=8, FE=58, DE =40 and DF = 40.

Hence, the incorrect statement is in option B. So, option B is correct.

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