Question

A modern architect designed a triangular house thateveryone is trying to visit. The front of the house is anequilateral triangle with a perimeter of 24 yards.Someone who is buying the house wants to put asculpture inside of it but first they must know the height(altitude) of the house.What is the length of the triangle's altitude to thenearest tenth of a yard.

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Equilateral triangle

Data

Perimeter = 24 yards

height = ?

Step 02:

Perimeter = side + side + side

Perimeter = 3 * side

24 = 3 * side

24/ 3 = side

8 = side

side ² = height ² + (side / 2)²

8 ² = h ² + 4 ²

64 - 16 = h ²

`h\text{ = }\sqrt[]{64-16}\text{ = }\sqrt[]{48}\text{ = }6.928`

The answer is:

The height of the house is 6.9 yards .