Question

Find the value of x in this problem?

Answer 1

x = 10

Explanation:

The triangle is isosceles since it has two sides the same length. The line that represents the height bisects the base. You can look at this as two triangles right next to each other, each one having a base of 24

We can use Pythagorean theorem to solve this. 'x' is a missing leg, so we have..

26² = 24² + a²

Solve for a

676 = 576 + a²

100 = a²

10 = a

Answer 2

10

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.