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An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, the altitude cuts the base into two equal segments. The length of the altitude is 5 inches, and the length of the base is 2 inches. Find the triangle’s perimeter. Round to the nearest tenth of an inch.

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The triangle's perimeter is mathematically given as

P =18 inches

What is the triangle's perimeter.?

The isosceles triangle's side lengths may be calculated based on the base's length and height.

The triangle's circumference measures roughly 35.2 inches.

Reasons:

  • The variables mentioned are;
  • Isosceles triangles are what the triangle is.
  • The base is divided in two by the height.
  • Altitude length, h = 5 inches
  • L= 2 inches is the triangle's base's length.

The Pythagorean Theorem provides us with;

length of the hypotenuse, the longest isosceles side of the triangle

the following side of the right triangle that the altitude, R, forms;

[tex]R=\sqrt{h^2\frac{1}{2}^2}\\\\Therefore\\\\R=\sqrt{5^2* \frac{2}{2}^2}[/tex]

R = 5

Therefore;Triangle's perimeter is given by P = R + R + l = 2R + l.

Therefore;

P = 2 × 5 + 8

p ≈ 18

P =18 inches is the triangle's perimeter.

Below is additional information about the Pythagorean Theorem:

brainly.com/question/2514956

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