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2 years ago

Please help me with this question❤️

Mathematics

1 answer:

bija089 [108]2 years ago

3 0

Answer:

2/4 = 0.5

0.578

Step-by-step explanation:

so sin(π/4) is √2/2 squaring this gets your first answer

second answer is just plug and chug in a calculator

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The side lengths of the following right triangle 15,20 and 25, as shown below. The altitude from the right angle splits the hypo

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Answer:

$h = 12$

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Step-by-step explanation:

Given

The attached triangle

Required

Find h, x and y

Let the base of the triangle be 15.

So, the area is:

$A = \frac{1}{2} * 15 * 20$

$i.e\ height = 20$

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So, the area is:

$A = \frac{1}{2} * 25 * h$

$i.e\ height = h$

$A = \frac{1}{2} * 25h$

Substitute $A = 150$

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Solve for h

$h = \frac{150 *2}{25}$

$h = 6 *2$

$h = 12$

Considering the smallest triangle

$Hypotenuse = 15$

So:

$15^2 = h^2 + x^2$

$15^2 = 12^2 + x^2$

This gives:

$15^2 - 12^2 = x^2$

$81 = x^2$

Take square roots

$9 =x$

$x = 9$

Solving for y

$x + y = 25$

$y= 25 - x$

$y= 25 - 9$

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