The following statements about the right triangle are shown below.
- The length of another leg is 12.96 cm. Thus, option B is correct.
- The length of the hypotenuse is 34.4 in. Thus, option C is correct.
- Option A satisfies the Pythagoras theorem. Thus, option A is correct.
- Option B satisfies the Pythagoras theorem. Thus, option B is correct.
Right triangle?
It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.
Pythagoras theorem
\(\rm Hypotenuse^2 = Base^2 + Perpendicular^2\)
1. A right triangle has a leg of 11 cm and a hypotenuse of 17 cm.
The length of another leg will be.
According to Pythagoras theorem
\(\begin{aligned} \rm Base^2 + 11^2 &= 17^2\\\\\rm Base^2 +121 &= 289\\\\\rm Base^2 &= 168\\\\\rm Base &= 12.96 \approx 13\\\end{aligned}\)
The length of another leg is 12.96 cm.
Thus, option B is correct.
2. A right triangle has legs measuring 20 in. and 28 in.
The length of the hypotenuse will be
\(\begin{aligned} \rm hypotenuse ^2&= 20^2 + 28^2\\\\\rm hypotenuse ^2 &= 400 + 784\\\\\rm hypotenuse ^2 &= 1184\\\\\rm hypotenuse &= 34.4\\\end{aligned}\)
The length of the hypotenuse is 34.4 in.
Thus, option C is correct.
3. The set which satisfies the Pythagoras theorem will be the sides of the right triangle.
By option A
\(\begin{aligned} \rm 17^2&= 8^2 + 15^2\\\\\rm 289 &= 64 + 225\\\\\rm 289 &= 289\\\end{aligned}\)
Option A satisfies the Pythagoras theorem.
Thus, option A is correct.
4. The set which satisfies the Pythagoras theorem will be the sides of the right triangle.
By option B
\(\begin{aligned} \rm 41^2&= 40^2 + 9^2\\\\\rm 1681&= 1600 + 81\\\\\rm 1681 &= 1681\\\end{aligned}\)
Option B satisfies the Pythagoras theorem.
Thus, option B is correct.
The following statements are shown below.
- The length of another leg is 12.96 cm. Thus, option B is correct.
- The length of the hypotenuse is 34.4 in. Thus, option C is correct.
- Option A satisfies the Pythagoras theorem. Thus, option A is correct.
- Option B satisfies the Pythagoras theorem. Thus, option B is correct.
More about the Right triangle link is given below.
https://brainly.com/question/4364353
