Question

Find the lengths of the missing sides in the following shapes

Answer 1

Given:

Base of the triangle = 5 cm

Let's find the altitude of the triangle x.

Let's first solve for each base of the triangle:

Here, we have an equilateral triangle.

This means the length of each side of the big triangle is 5 cm.

To find the length of x, apply Pythagorean Theorem:

`c^2=a^2+b^2`

Where:

a = 2.5 cm

c = 5 cm

Let's solve for b.

Rewrite the equation for b:

`\begin{gathered} b=\sqrt[]{c^2-a^2} \\ \\ b=\sqrt[]{5^2-2.5^2} \\ \\ b=\sqrt[]{25-6.25} \\ \\ b=\sqrt[]{18.75} \\ \\ b=4.3 \end{gathered}`

Therefore, the length of x is 4.3 cm

ANSWER:

x = 4.3 cm