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Komok [63]
3 years ago
12

One leg of a right triangle is twice as long as the other. write the length of the hypotenuse

Mathematics
1 answer:
rusak2 [61]3 years ago
7 0
Let one of the legs be called x. 

The second leg= 2x 

You know that; c²=a²+b²

c²=(2x)²+(x)²
c²=4x²+x²
c²=5x²
c=√5x²

Therefore, the length of the hypotenuse should be √5x².

Hope I helped :) 
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Simplify and solve for x. ​ ​ 5(x+20)= 7x+30
hodyreva [135]

Answer:

x = 35

Step-by-step explanation:

Solve for x:

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Expand out terms of the left hand side:

5 x + 100 = 7 x + 30

Subtract 7 x from both sides:

(5 x - 7 x) + 100 = (7 x - 7 x) + 30

5 x - 7 x = -2 x:

-2 x + 100 = (7 x - 7 x) + 30

7 x - 7 x = 0:

100 - 2 x = 30

Subtract 100 from both sides:

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Divide both sides of -2 x = -70 by -2:

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Answer: x = 35

6 0
4 years ago
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