Find the value of x in this problem?

10

Step-by-step explanation:

Remark

The base angle is 90 degrees. It is so marked. The triangle is isosceles, which  means that the perpendicular is also bisecting the base.

The base is 1/2 48 = 24

Givens

Hypotenuse: 26

1/2 base = 24

height = ?

Formula

a^2 + b^2 = c^2

Solution

a^2 + 24^2 = 26^2

a^2 = 676 -  576

a^2 = 100                   Take the square root of both sides

sqrt(a^2) = sqrt(100)

a = 10

The height is 10 units.

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