Question

Help with this math question

Answer 1

Answer:

Step-by-step explanation:

In the first triangle, you have the following relation between a, b and h.

$\frac{a}{h} = \frac{h}{b}$

This is another form of the Altitude Theorem in a right triangle.

In the second example, we use the Altitude Theorem:

Let h denote the dotted line / the altitude;

$h^2 = 7 \cdot 9 = 36$

h = 6, we take the positive version since we're in Euclidean Geometry.

Now we have to solve for x. It's easy since the h that we solved for is in a right triangle and we have Pythagora's Theorem for that.

It states: $x^2 = 6^2 + 9^2 = 117$

So $x = \sqrt{117}$