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maxonik [38]
3 years ago
7

An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, t

he altitude cuts the base into two equal segments. The length of the altitude is 26 inches, and the length of the base is 9 inches. Find the triangle’s perimeter. Round to the nearest tenth of an inch.
Mathematics
1 answer:
Alenkinab [10]3 years ago
5 0

Answer:

The triangle's perimeter is 61.77 inches.

Step-by-step explanation:

Since an altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles, and as a result, the altitude cuts the base into two equal segments, and the length of the altitude is 26 inches, and the length of the base is 9 inches, to find the triangle's perimeter the following calculation must be performed:

Isosceles triangle = 2 equal sides

To obtain the value of the sides, the Pythagorean theorem must be applied on the right triangle formed with the altitude.

(9/2) ^ 2 + 26 ^ 2 = X ^ 2

4.5 ^ 2 + 26 ^ 2 = X ^ 2

20.25 + 676 = X ^ 2

√ (20.25 + 676) = X

√696.25 = X

26.38 = X

26.3865 x 2 + 9 = X

52.77 + 9 = X

61.77 = X

Therefore, the triangle's perimeter is 61.77 inches.

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Step-by-step explanation:

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3 years ago
A square has 9 inch sides . Every side of a pentagon is also 9 inches long are the perimeters the same
DaniilM [7]
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4 years ago
I would like to know the answer pls
Elena L [17]

Answer:

You would explain what I did in the step by step explanation.

Step-by-step explanation:

There are three types of triangles: equilateral, isosceles, and scalene. An equilateral triangle has all 3 sides congruent, an isosceles has only 2 sides congruent, and a scalene has no sides congruent. So, if the triangle has marked sides congruent, or you have found some sides congruent, then you look at the amount of sides congruent, and then you can find the type of triangle. For example, if you have a triangle called ABC, and AB and BC are congruent but AC is not, then it is Isosceles because 2 sides are congruent. You would explain the 3 triangle definitions to your friend.

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3 years ago
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The basketball court at Cecil College is 50 feet by 94 feet. they need to buy fencing to go around the outside of the court in o
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