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nadezda [96]
3 years ago
8

Find the leg of each isosceles right triangle when the hypotenuse is of the given measure. Given = 5 is the square root of 6

Mathematics
2 answers:
Free_Kalibri [48]3 years ago
4 0

Answer:

5\sqrt{3}=x

Step-by-step explanation:

We are given an isosceles right triangle.

Refer the attached figure

ΔABC is an isosceles right triangle.

AB = BC = x (Let)

AC = Hypotenuse = 5√6 (Given)

Now using Pythagoras theorem

Hypotenuse^2=Perpendicular^2+Base^2

AC^2=AB^2+BC^2

(5\sqrt{6})^2=x^2+x^2

150=2x^2

\sqrt{150}{2}=x^2

75=x^2

\sqrt{75}=x

5\sqrt{3}=x

Hence the leg of each isosceles right triangle when the hypotenuse is 5√6 is 5\sqrt{3}.

Leto [7]3 years ago
3 0
Hello : 
by the pytagore rule : 
the length of the  hypotenuse is x :  x²= (5√6)² +(5√6)²
x² = 300
x =√300
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