Respuesta :

pandaeyes1021

Answer:

60

Step-by-step explanation:

→Before you use the formula to find the area of the isosceles triangle, you must find the height, and to do this, you can use the Pythagorean Theorem:

[tex]a^2+b^2=c^2[/tex]

→We are given the hypotenuse, "c," as 13, and the leg is 5 (we split the base of 10 in half).

[tex]5^2+b^2=13^2[/tex]

[tex]25+b^2=169[/tex]

→Subtract 25 from both sides:

[tex]b^2=144[/tex]

→To get "b," by itself, take the square root of both sides:

[tex]\sqrt{b^2} =\sqrt{144}[/tex]

[tex]b = 12[/tex]

→Formula for area:

A = [tex]\frac{bh}{2}[/tex]

A = [tex]\frac{(10)(12)}{2}[/tex]

A = 60

shubhamchouhanvrVT

The area of the isosceles triangle is 60 square units.

What is an area?

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the triangle in a two-dimensional plane is called the area of the triangle.

The area is calculated by having the height of the triangle and the base of the triangle.

The height is calculated by using the Pythagorean theorem.

H² = P² + B²

13² = P² + 5²

P² = 169 - 25 = 144

P = √144 = 12 units

The perpendicular is the height of the triangle.

The area is calculated as:-

A = ( 1 / 2 ) x B x H

A = ( 1 / 2 ) x 10 x 12

A = 60 square units.

To know more about the area follow

https://brainly.com/question/89544

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