is this a right triangle! pls help
question: two students solved a problem below
"am i a right triangle? My sides are 9cm, 11cm, and 14cm,"
henry thinks it is a right triangle and derek thinks it's not a right triangle.
who is right ?
(explain to the students who missed toe problem, what theron should they use and show how to correctly solve the problem.)

Question

11-01-2024
Mathematics

contestada

is this a right triangle! pls help
question: two students solved a problem below
"am i a right triangle? My sides are 9cm, 11cm, and 14cm,"
henry thinks it is a right triangle and derek thinks it's not a right triangle.
who is right ?
(explain to the students who missed toe problem, what theron should they use and show how to correctly solve the problem.)

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semsee45 semsee45 · Answer 1 · 2024-01-11T20:03:24+01:00

Answer:

1. Derek

2. Pythagorean Theorem

Step-by-step explanation:

Derek is correct. A triangle with sides measuring 9 cm, 11 cm and 14 cm is not a right triangle.

To determine whether the given triangle with sides 9 cm, 11 cm, and 14 cm is a right triangle, the students can use the Pythagorean Theorem.

The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a) and (b). The formula is:

[tex]c^2 = a^2 + b^2[/tex]

In this case:

a = 9 cm
b = 11 cm
c = 14 cm

Now, substitute these values into the Pythagorean Theorem:

[tex]\begin{aligned}14^2 &= 9^2 + 11^2\\\\196 & = 81 + 121\\\\196 &=202\end{aligned}[/tex]

Since the left side of the equation does not equal to right side (196 ≠ 202), the triangle does not satisfy the Pythagorean Theorem, and therefore it is not a right triangle.