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Select the correct answer.
Right triangle DEF has two 45° angles with the hypotenuse, DF, having a length of 8. What is DE?
A.
8v2
B.
4v2
C.
4
D.
8

Select the correct answer Right triangle DEF has two 45 angles with the hypotenuse DF having a length of 8 What is DE A 8v2 B 4v2 C 4 D 8 class=

Respuesta :

B this is because the hypotenuse is 8 and during the special right triangle(45,45,90) to find the hyp is xv2

The length of DE is 4√2, the correct option is B.

What is an Isosceles Triangle?

An Isosceles triangle is a triangle whose two sides are equal in length, and so two angles are also equal in measure.

DEF is a right angled triangle has two angles as 45 degree,

The triangle is therefore an Isosceles Triangle as the two angles are equal, so the side lengths corresponding to it will be equal,

The hypotenuse DF = 8

The length of DE can be determined by Pythagoras Theorem.

Let the side length be x units then,

8² = x² + x²

64 = 2x²

32 = x

x = 4√2

DE = 4√2

To know more about Isosceles Triangle

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