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3 years ago

△BCD is a right triangle. The length of the hypotenuse is 19 centimeters. The length of one of the legs is 13 centimeters.

1 answer:

3 0

here we can use Pythogoras' theorem.
in right angled triangles the square of the hypotenuse is equal to the sum of the squares of the other 2 sides.
hypotenuse is 19 cm. One side is 13 cm and we need to find the length of the third side.

19² = 13² + X²
X - length of the third side

361 = 169 + X²
X² = 361 - 169

X² = 192

X = 13.85 the length of third side rounded off to the nearest tenth is 13.9 cm

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Following the method of substitution.

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3 years ago

Write the function a a product of linear factor by grouping or using the x method or a combination of both

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<h3>Answer:</h3>

$\boxed{\boxed{\pink{\sf Option \ A \ is \ correct .}}}$

<h3>Step-by-step explanation:</h3>

Given function to us is :-

$\bf \implies g(x) = x^2 - 9$

And we , need to write the function a a product of linear factor by grouping or using the x method or a combination of both . So let's factorise this ,

$\bf \implies g(x) = x^2 - 9 \\\\\bf\implies g(x) = x^2-3^2\\\\\bf\implies \boxed{\red{\bf g(x) = (x+3)(x-3) }}\:\:\bigg\lgroup \blue{\tt Using \ (a+b)(a-b) \ = a^2-b^2 }\bigg\rgroup$

I have also attached the graph of x²-9.

<h3>Hence option A is correct .</h3>

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​ △BCD ​ is a right triangle. The length of the hypotenuse is 19 centimeters. The length of one of the legs is 13 centimeters.

△BCD is a right triangle. The length of the hypotenuse is 19 centimeters. The length of one of the legs is 13 centimeters.