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OlgaM077 [116]
2 years ago
5

Please help me with this homework question. No silly answers please and no bots! I will mark brainliest to whoever gets all them

right. Thank you !​

Mathematics
1 answer:
MatroZZZ [7]2 years ago
3 0

Answer:

The formula for the area of the triangle is:

\displaystyle A=24x^2

When <em>x</em> = 3, the area is 216 square centimeters.

When <em>x </em>= 2.4, the area is 138.24 square centimeters.

And when <em>x</em> = 5, the hypotenuse of the triangle is 50 centimeters.

Step-by-step explanation:

We are given a right triangle with a height of 8<em>x</em> and a base of 6<em>x</em>.

The area of a triangle is given by the formula:

\displaystyle A=\frac{1}{2}bh

So, by substitution:

\displaystyle A=\frac{1}{2}(8x)(6x)=24x^2

When <em>x </em>= 3, the area will be:

\displaystyle A(3)=24(3)^2=216\text{ cm}^2

And when <em>x</em> = 2.4, the area will be:

A(2.4)=24(2.4)^2=138.24\text{ cm}^2

When <em>x </em>= 5, the height will be 8(5) = 40 cm and the base will be 6(5) = 30 cm.

By the Pythagorean Theorem:

a^2+b^2=c^2

So:

(40)^2+(30)^2=c^2

The hypotenuse will be:

c=\sqrt{1600+900}=\sqrt{2500}=50\text{ cm}

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