Seraphina says that ΔKLM is a right triangle. Is she correct?
Seraphina is correct. The sum of the squares of the two legs of the triangle is equal to the square of the hypotenuse.
Seraphina is not correct. The sum of the squares of the two legs of the triangle is not equal to the square of the hypotenuse.
Seraphina is correct. In the diagram, side KM looks perpendicular to side ML, so the triangle must be a right triangle.
Seraphina is not correct. The sum of the legs, 12 cm and 16 cm, does not equal the length of the hypotenuse, 19 cm.
Answers
Answer:
B. Seraphina is not correct. The sum of the squares of the two legs of the triangle is not equal to the square of the hypotenuse.
Step-by-step explanation:
If KLM is a right triangle, then 12^2+16^2=19^2,
144+256 = 361
400 = 361 false
so, KLM is not a right triangle as the sum of the squares of the two legs are not equal to the square of the hypotenuse.
The sum of the squares of the two legs of the triangle is not equal to the square of the hypotenuse. Seraphina is incorrect.
What is a Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
|AC|^2 = |AB|^2 + |BC|^2
where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).
Seraphina says that ΔKLM is a right triangle.
Let us check whether triangle ΔKLM is a right triangle or not.
By the Pythagoras theorem, we have
19² = 16² + 12²
361 = 256 + 144
361 ≠ 400
Thus, the triangle is not a right triangle.
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