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Find the value of x in the isosceles triangle 20 20 8

Find the value of x in the isosceles triangle 20 20 8-example-1
User Arun Pratap Singh
by
2.8k points

2 Answers

15 votes
15 votes

Answer:

The value of x (which is height) is 2 units. x = 2

User Temaruk
by
3.0k points
12 votes
12 votes

Answer:

x = 2

Explanation:

The picture helps.

the line is an altitude. It is found with the Pythagorean Theorem.

hypotenuse^2 = x^2 + (8/2)^2

hypotenuse = sqrt(20)

8/2 = 4

sqrt(20)^2 = x^2 + 4^2

20 = x^2 + 16 Subtract 16 from both sides

20 - 16 = x^2

4 = x^2 Take the square root of both sides

sqrt(4) = sqrt(x^2)

x = 2

User Emre Nevayeshirazi
by
3.0k points