Question

a right triangle has a leg of 11cm and a hypotenuse of 17cm what is the length of the other leg round to the nearest tenth

Answer 1

Answer:
`2√(42)cm` ≈12.96 cm

Explanation:

To solve this exercise you must apply the Pythagorean Theorem, which is the shown below:

`a^2=b^2+c^2`

Where a is the hypotenuse and b and c are the other legs.

You know that the triangle has a leg of 11 cm and the hypotenuse is 17 cm. Therefore, you can substitute values and solve for the other leg.

Then you obtain:

`(17cm)^2=b^2+(11cm)^2\\b=√((17cm)^2-(11cm)^2)\\b=2√(42)cm`

b≈12.96 cm