Question

Ella’s geometry teacher asked each student to devise a problem and write out its solution. Here is Ella’s work: A triangle has side lengths of 10, 11, and 15. What type of triangle is it? Procedure: 102 ?? 112 + 152 100 ?? 121 + 225 100 < 346 Conclusion: This triangle is an acute triangle. Which statement best summarizes Ella’s work? Ella’s procedure and conclusion are correct. Ella’s procedure is correct, but her conclusion is incorrect. Ella’s procedure is incorrect, but her conclusion is correct. Ella’s procedure and conclusion are incorrect.

Answer 1

Answer:

Step-by-step explanation:

The Answer is D

Ella’s procedure and conclusion are incorrect.

Answer 2

Answer:

Ella’s procedure and conclusion are incorrect.

Step-by-step explanation:

Given a triangle has side lengths of 10, 11, and 15. we have to find that the triangle is acute obtuse or right.

As by the converse of Pythagoras: In a triangle with side lengths a, b, and c where c is the length of the longest side, if $c^2$ then the triangle is acute.

To find the triangle acute or not the procedure should be followed is

$15^2=225$

$10^2+11^2=100+121=221$

which shows $c^2>a^2+b^2$.

Hence, the triangle is obtuse not acute

∴ Ella’s procedure and conclusion are incorrect.