Question

Given a right triangle with a hypotenuse of 6 cm and a leg of 4cm, what is the measure of the other leg of the triangle rounded to the tenths?

Question 5 options:

20 cm


7.2 cm


4.5 c

Answer 1

`4.5 cm=L2`

Explanation:

This problem can be solved using the pythagorian theoreme:

`H=\sqrt{L1^(2)+L2^(2)  }`

Where:

`H=6 cm`

`L1=4 cm`

`L2=?`

We isolate our incognita an we get:

`\sqrt{H^(2)-L1^(2)} =L2`

We supplant with the given data:

`\sqrt{(6cm)^(2)-(4cm)^(2)} =L2`

`\sqrt{36cm^(2)-16cm^(2)} =L2`

`\sqrt{36cm^(2)-16cm^(2)} =L2`

`\sqrt{20cm^(2)} =L2`

`4.5 cm=L2`