Question

Does anyone know what x equals?

Answer 1

X=18

Explanation:

Answer 2

x = 3.5 units (nearest tenth)

Explanation:

The given triangle has a one right angle and two angles each measuring 45°. Therefore, it is a 45-45-90 triangle.

A 45-45-90 triangle is a special right triangle where the measures of its sides are in the ratio 1 : 1 : √2.

Therefore, the formula for the ratio of the sides is x : x : x√2 where:

• x is each side opposite the 45 degree angles (legs).
• x√2 is the side opposite the right angle (hypotenuse).

As the hypotenuse of the given right triangle is 5 units:

`\implies x√(2) = 5`

To find the measure of x, solve for x:

`\implies (x√(2))/(√(2)) = (5)/(√(2))`

`\implies x = (5)/(√(2))`

`\implies x =3.5355339...`

`\implies x=3.5\; \sf units\;(nearest\;tenth)`

Therefore, the length of side x to the nearest tenth is 3.5 units.