Math, asked by josiahcontreras12, 5 hours ago

What is the value of x in the triangle shown below?

Answers

Answered by jasvindarsinghkuttan

Answer:

your question is incomplete

Step-by-step explanation:

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Answered by pranjaldhoot97

Step-by-step explanation:

You could notice we have two equal angles, and thus an isosceles triangle, so the two sides opposite the 45 degree angles must be equal, and so must both be √2. Since we have two 45 degree angles, the third angle must be 90 degrees, so we can use Pythagoras to find x:

(√2)^2 + (√2)^2 = x^2

2 + 2 = x^2

4 = x^2

2 = x

Or you can just notice we have a 45-45-90 triangle, so the hypotenuse is √2 times as long as either short side. Since the short side here is √2, then the hypotenuse x is (√2)(√2) = 2.

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MHIKER

Dec 14, 2020

Bunuel wrote:

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In the triangle shown below, what is the value of x ?

(A)

(B) 2

(C)

(D)

(E)

Show Spoiler

The remaining angle is 90 degrees. So, this is an isosceles right triangle of 45:45:90 properties, where the sides are

Thus the hypotenuse

The answer is

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CrackVerbalGMAT

EXPERT'S

POST

Dec 14, 2020

SOLUTION:

In the given triangle sin 45 =perpendicular / hypotneuse

=> 1/√2 = √2 /x

=>x = 2 (OPTION B)

Hope this helps :thumbsup:

Devmitra Sen(Math)

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- CrackVerbal Prep Team

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