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A diagonal divides a rectangle that is 9 feet wide and 17 feet long into two identical triangles. What is the area, in square feet, of one of the triangles?

Sagot :

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Answer:

area of a triangle = 1/2 × base × height

= 1/2×17×9

=76.5 square feet

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The area of one triangle is 76.5 square feet.

How do we find the area of a right-angled triangle?

Area of a triangle = (1/2)*base*height.

For a right-angled triangle, the base and height are the two sides making the right angle, that is, the base and the perpendicular.

∴ Area of a right-angled triangle = (1/2)*base*perpendicular.

How do we solve the given question?

We are given a rectangle with sides of 9 feet and 17 feet. We are informed that this rectangle is divided into 2 identical triangles by its diagonal.

We know that the angles in a rectangle are all right angles, so the formed triangle is a right-angled triangle.

We can now find the area of this triangle using the given information,

Area of one triangle = (1/2)*9*17 square feet = 0.5*153 square feet

or, Area of one triangle = 76.5 square feet

∴ The area of one of the triangles is 76.5 square feet.

Learn more about the areas of the right-angled triangle at

https://brainly.com/question/17021146

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