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3 years ago

14

One leg of a right triangle is 4 cm the hypotenuse is 10 cm how long it the other leg

2 answers:

Otrada [13]3 years ago

6 0

Answer: 9.17cm

Since it is a right angle triangle, we can use <span>Pythagoras T<span>heorem to find the missing leg.

</span></span>-------------------------------------------------<span>
Formula
-------------------------------------------------
a</span>² + b² = c², c being the hypotenuse.

The hypotenuse, denoted by c, is 10cm. One leg, denoted by a, is 4cm. Apply the formula and solve for the other leg, denoted by b.

-------------------------------------------------
Solve the missing side
-------------------------------------------------
a² + b² = c²
4² + b² = 10²
16 + b² = 100 ←subtract 16 from both sides
-16 -16
b² = 84 ←square root both sides
b = √84
b = 9.17 (nearest hundredth)

So the other leg, denoted by b, is 9.17cm

-------------------------------------------------
Answer: 9.17 cm
-------------------------------------------------

ASHA 777 [7]3 years ago

3 0

I hope this will work.

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