We can see on the diagram that the missing length x is the height of the triangular pyramid. Notice that x is also one of the legs of the right triangle with the red sides. This means that we can use the Pythagorean Theorem to find the height x.
a^2+b^2=c^2
In the formula, a and b are the legs and c is the hypotenuse of a right triangle. Let's identify a, b, and c on the right triangle!
In this right triangle, the leg b is 0.9 meters long and the hypotenuse c is 1.5 meters long. The missing leg is x. We will substitute these values into the Pythagorean Theorem and solve for x.
We found that x is 1.2 meters long. This means that the missing leg of the right triangle, and therefore the height of the triangular pyramid, measures 1.2 meters.
