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maria [59]
3 years ago
9

If you have a right triangle is 10 cm² and one of the legs is 4 cm find the length of the other leg

Mathematics
2 answers:
user100 [1]3 years ago
7 0

Answer:

The length of the other leg is 5cm

Step-by-step explanation:

Area of a right triangle = ½ * Base * Height.

Given:

Base = 4cm

Height (Length) = ??

Area = 10cm²

Area = ½ bh

10cm² = ½ * 4 * h

10cm² = 2h

Let's divide through by 2cm

h = 10cm² / 2cm

h = 5cm

The length of the other leg is 5cm

lesya [120]3 years ago
5 0

If you are saying that the hypotenuse is 10 cm the you have to solve the following equation using the Pythagorean theory.

4^2 + b^2 = 10^2

16 + b^2 = 100

16 - 16 + b^2 = 100 - 16

b^2 = 84

Find \sqrt{84\\

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