contestada

Hays builds model sailboats as a hobby. The dimensions of the sailboats are given. What is the height, x, of the smaller sailboat's sail? Enter your answer, as a decimal, in the box. x = in. Two sailboats with sails that are right triangles. The top angle on the sails are marked congruent to each other. The smaller sail has a height of x and a base of 7 inches. The larger sail has a height of 12 inches and a base of 8 inches.

Respuesta :

Cheetok
The answer should be 10.5 

The smaller sail has a height of 10.5 inches.

Given to us

  • Two sailboats with sails that are right triangles.
  • The top angle on the sails is marked congruent to each other.
  • The smaller sail has a height of x and a base of 7 inches.
  • The larger sail has a height of 12 inches and a base of 8 inches.

Similarity of triangles

We know that for the two sails of the sailboat,

the right angle will be equal,

the angles at the top of the sail are congruent, {given}

therefore, the third angle will be equal for both the triangles.

thus, both the triangles will be similar to each other.

For similar triangles,

The sides will be in ratio.

[tex]\dfrac{12}{8}=\dfrac{x}{7}[/tex]

[tex]\dfrac{12\times 7}{8}=x\\x = 10.5[/tex]

Hence, the smaller sail has a height of 10.5 inches.

Learn more about Similar triangles:

https://brainly.com/question/25882965

Otras preguntas