Question

A triangular sail has a diagonal length of 53 feet and a width of 45 feet. The height of the sail in feet’s is h. Which equation can be used to find the value of h?

Answer 1

Answer:

We can use the Pythogoras theorem:

$h^{2} =53^{2} -45^{2}$

Step-by-step explanation:

It is given that the diagonal length of the triangular sail is 53 feet.

It is also given that the width of the triangular sail is 45 feet.

The height of the triangular sail is h feet.

From the figure, we observe that the triangle is right angled.

So, we can use the Pythogoras theorem to determine the height h.

From the Pythogoras theorem,

$53^{2} =h^{2} +45^{2}$

Or, $h^{2} =53^{2} -45^{2}$

= (53+45) (53-45)

= 98 × 8

= 2 × 49 × 8

= 16 × 49

h = 4 × 7

= 28 feet