A 45-45-90 triangle has a hypotenuse of length 7. What is the length of one of its legs?

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A 45-45-90 triangle has a hypotenuse of length 7. What is the length of one of its legs?

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Answer 1 · 2018-05-11T07:38:56

$(7sqrt2)/2$

Explanation:

In a $45-45-90$ triangle the two shorter sides are equal since it is also an isosceles triangle. Using Pythagoras' theorem

$x^2+x^2=7^2$

$2x^2=49$

$x=sqrt(49/2$

$x=7/sqrt2=(7sqrt2)/2$

Answer 2 · 2018-05-11T07:46:37

$color(indigo)("Length of each leg " a = 7 / sqrt2 = 4.95$

Explanation:

![https://math.tutorvista.com/geometry/http://area-of-a-right-triangle.html](https://useruploads.socratic.org/f4XtZ4AS0aOUolpEv8xv_isosceles%20right%20triangle.png)

$"From the above figure, sides are in the ratio ' a : a : asqrt2$

$"Given hypotenuse " = a sqrt2 = 7$

$:. a = 7 / sqrt2 = 7 / 1.4142 = 4.95$

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A 45-45-90 triangle has a hypotenuse of length 7. What is the length of one of its legs?

2 Answers

Explanation:

Explanation:

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