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What is the value of x in the triangle?

What is the value of x in the triangle?-example-1
User Elianna
by
4.6k points

2 Answers

6 votes

Answer:

Explanation:

Q

User Bryan Potts
by
4.7k points
1 vote

Answer:

B

Explanation:

Since there are 2 congruent angles then the triangle is right isosceles.

The 2 legs of the triangle are therefore congruent ( both x )

Use Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + x² = (3
√(2) )² , then

2x² = 18 ( divide both sides by 2 )

x² = 9 ( take the square root of both sides )

x =
√(9) = 3 → B

User Aniket Singh
by
4.5k points