This math topic focuses on applying the Pythagorean theorem to find the lengths of the sides of triangles when given the hypotenuse. Students solve problems where they calculate the lengths of identical leg sides of right triangles, assuming that each leg has a decimal length. Each question provides a different hypotenuse value, guiding students through increasingly complex scenarios. The calculations encourage precision in handling decimal values to derive accurate results, enhancing both geometric understanding and arithmetic skills.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Pythagoras in Squares - Triangle Hypotenuse to Side Decimal Worksheet

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Math worksheet on 'Pythagoras in Squares - Triangle Hypotenuse to Side Decimal (Level 1)'. Part of a broader unit on 'Inscribed Squares and Circles - Intro' Learn online: app.mobius.academy/math/units/inscribed_squares_and_circles_intro/
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Find the length of the identical leg sides, given a hypotenuse of length 10
a
7.07
b
8.49
2
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Find the length of the identical leg sides, given a hypotenuse of length 14
a
12.87
b
9.9
3
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Find the length of the identical leg sides, given a hypotenuse of length 12
a
8.49
b
5.09
4
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Find the length of the identical leg sides, given a hypotenuse of length 9
a
3.82
b
6.36
5
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Find the length of the identical leg sides, given a hypotenuse of length 11
a
9.33
b
7.78
6
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Find the length of the identical leg sides, given a hypotenuse of length 13
a
11.95
b
9.19
7
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Find the length of the identical leg sides, given a hypotenuse of length 15
a
10.61
b
11.67