Question

A company logo is shaped like an equilateral triangle with 6-inch long sides. What is the height of the logo? Round to the nearest tenth.

Answer 1

Answer:

5.2 in

Step-by-step explanation:

An equilateral triangle is a triangle with 3 equal sides

Divide the equilateral triangle into two congruent triangles and use Pythagoras theorem to find the height

The Pythagoras theorem : a² + b² = c²

where a =  height

b = base = 6 in / 2 = 3 in  

c =  hypotenuse = 6 in

6² = 3² + h²

h = 36 - 9 = 27

√27 = 5.196 inch

to the nearest tenth = 5.2 in

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero