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Sonbull [250]
3 years ago
12

How many centimeters long is a leg of an isosceles right triangle if its hypotenuse has a length of 8√2 centimeters?

Mathematics
1 answer:
andrew-mc [135]3 years ago
7 0

Answer:

The leg is 8 cm long

Step-by-step explanation:

An isosceles right triangle has the length of its hypotenuse and opposite equal

Let us call the length x

From Pythagoras’ , the square of the hypotenuse equals the sum of the squares of the two other sides

Thus, we have ;

x^2 + x^2 = (8 √2)^2

2x^2 = 128

x^2 = 128/2

x^2 = 64

x= √64

x = 8 cm

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2)

Step-by-step explanation:

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7 0
3 years ago
Read 2 more answers
Solve the system.<br> y= 22 – 10x + 15<br> y=-10
Yuliya22 [10]

I will try to solve your system of equations.

y=22;−10x+15y=−10

Step: Solvey=22for y:

Step: Substitute22foryin−10x+15y=−10:

−10x+15y=−10

−10x+(15)(22)=−10

−10x+330=−10(Simplify both sides of the equation)

−10x+330+−330=−10+−330(Add -330 to both sides)

−10x=−340

−10x

−10

=

−340

−10

(Divide both sides by -10)

x=34

Answer:

y=22 and x=34Answer:

Step-by-step explanation:

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