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weqwewe [10]
3 years ago
10

The hypotenuse in a right triangle is 13 cm. Of the other two sides one is 7 cm longer than the other determine the lengths of t

hose two sides

Mathematics
1 answer:
slamgirl [31]3 years ago
8 0

Assuming x represents the length of the first side.

Use pythagorean theorem to solve:

<span>a^2</span> + <span>b^2</span> = <span>c^2</span>

<span>x^2</span> + <span><span>(x+7)^</span>2</span> = <span>13^2</span>

<span>x^2</span> + <span><span>x^2</span>+14x+49</span> = 169

<span>2<span>x^2</span></span> + 14x - 120 = 0

Solve the quadratic equation using the quadratic formula.

At the end, you will get side lengths of #(-14 ± 34) / 4, or -12 and 5

SInce a negative triangle length is impossible, 5 is the value of x and 5 + 7 is the value of x + 7, which makes 12.

The formula for area of a right triangle is A = <span>b<span>h/2</span></span>

A = <span><span>b<span>(h)</span></span>2</span>

A= <span><span>12<span>(5)</span></span>2</span>

A = <span>30c<span>m^<span>2</span></span></span>

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