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mel-nik [20]
3 years ago
9

The legs of a right triangle are in the ratio 3:4. If the hypotenuse is 10, what is the length of the longer leg?

Mathematics
2 answers:
tatyana61 [14]3 years ago
8 0

Answer:

H^2 = P^2+ B^2

10^2 = 3x^2 +4x^2

100 = 9x^2 + 16x^2

100 = 25x^2

100 ÷ 25 = x^2

4 = x^2

x= 2

Length of longer arm is 4x = 4×2=8

Step-by-step explanation:

dalvyx [7]3 years ago
6 0

Answer:

8

Step-by-step explanation:

ratios of legs = 3x and 4x

Pythagorean theorum:

A^2+B^2=C^2

3x^2+4x^2=10^2

9x^2+16x^2=100

25x^2=100  --> divide by 25

x^2=4 --> x=2

length of longer leg is 4x = 4 x 2 = 8

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<em>Additional comment</em>

We cannot tell if your coordinates are supposed to be Cartesian coordinates (1, 0) and (4, 6), or if they are points on a number line. As it happens, it makes no difference. The final answer is interpreted the same way the given coordinate points are interpreted: 3.4 on a number line or (3, 4) on a plane.

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