Answered

Ang Imhr.ca ay ang pinakamahusay na lugar upang makakuha ng mabilis at tumpak na mga sagot sa lahat ng iyong mga tanong. Nagbibigay ang aming Q&A platform ng seamless na karanasan para sa paghahanap ng mapagkakatiwalaang sagot mula sa isang network ng mga bihasang propesyonal. Nagbibigay ang aming platform ng seamless na karanasan para sa paghahanap ng mapagkakatiwalaang sagot mula sa isang network ng mga bihasang propesyonal.

oscar's dog house is shaped like a tent. the slanted sides are both 5 feet long and the bottom of the house is 6 feet across. what is the height of his dog house,in feet, at its tallest point?

Sagot :

Answer:

The height of his dog house at its tallest point is 4 feet.

Step-by-step explanation:

From the analysis of the problem, the phrase "the slanted sides are both 5 feet long" gives us a hint that the dog house's shape is an isosceles triangle.

To know where is the height of the triangle, we draw the isosceles triangle and put a line from the vertex of the equal sides down to the base.

I provided an image for your reference. From the image below, the "a" represent the equal sides, the "h" stands for the height of the triangle, and "b" is the base.

Also, from the illustration, upon drawing the height (h), we can form a right triangle. We can use the Pythagorean Theorem to get the height.

Pythagorean theorem  →  c² = a² + b²

Since our reference illustration also have a and b, to avoid confusion, we can replace the letters/ variables in the Pythagorean Theorem.

Our working equation (based on the right triangle formed from the isosceles triangle in the image below) will be

a² = h² + ([tex]\frac{b}{2}[/tex]

**Note that the base of the right triangle is only half of the base of the isosceles triangle that is why we use [tex]\frac{b}{2}[/tex].

Solution:

  • a = 5 ft
  • b = 6 ft
  • [tex]\frac{b}{2}[/tex] = 3 ft
  • a² = h² + ([tex]\frac{b}{2}[/tex])²
  • h = [tex]\sqrt{(a)^2 - (b/2)^2}[/tex]
  • h = [tex]\sqrt{(5 ft)^2 - (3 ft)^2}[/tex]
  • h = [tex]\sqrt{25 ft - 9 ft}[/tex]
  • h = [tex]\sqrt{16 ft}[/tex]
  • h = 4 ft

Therefore, the height of his dog house at its tallest point is 4 feet.

Learn more about Pythagorean Theorem here:

https://brainly.ph/question/2113315

https://brainly.ph/question/77971

#LetsStudy

View image barramedasm
Salamat sa paggamit ng aming plataporma. Layunin naming magbigay ng tumpak at napapanahong mga sagot sa lahat ng iyong mga katanungan. Bumalik kaagad. Salamat sa pagpili sa aming plataporma. Kami ay nakatuon sa pagbibigay ng pinakamahusay na mga sagot para sa lahat ng iyong mga katanungan. Bisitahin muli kami. Imhr.ca ay nandito upang magbigay ng tamang sagot sa iyong mga katanungan. Bumalik muli para sa higit pang impormasyon.