Sovi AI

Pregunta

Pasos de solución

1. Understand the question

   applying the triangle inequality theorems and the converse of the pythagorean theorem
   classify each of the triangles as acute, obtuse, or right.
   triangle jkl is □ triangle.
   triangle xyz is □ triangle.
   triangle jkl has side lengths: jk=4, jl=6, kl=3
   triangle xyz has side lengths: xz=4, zy=4, xy=5

2. Explanation

   Step1: Classify △JKL

   Let \(a=3\), \(b=4\), \(c=6\) (longest side).
   Compare \(a^2 + b^2\) vs \(c^2\):
   \(3^2 + 4^2 = 9 + 16 = 25\)
   \(6^2 = 36\)
   Since \(25 < 36\), \(a^2 + b^2 < c^2\).

   Step2: Classify △XYZ

   Let \(a=4\), \(b=4\), \(c=5\) (longest side).
   Compare \(a^2 + b^2\) vs \(c^2\):
   \(4^2 + 4^2 = 16 + 16 = 32\)
   \(5^2 = 25\)
   Since \(32 > 25\), \(a^2 + b^2 > c^2\).

3. Final answer

   Triangle JKL is obtuse triangle.
   Triangle XYZ is acute triangle.

Respuesta

Question Analysis

OCR Text

applying the triangle inequality theorems and the converse of the pythagorean theorem
classify each of the triangles as acute, obtuse, or right.
triangle jkl is □ triangle.
triangle xyz is □ triangle.
triangle jkl has side lengths: jk=4, jl=6, kl=3
triangle xyz has side lengths: xz=4, zy=4, xy=5

Temas relacionados

Preguntas relacionadas

• use an area model to solve 31 × 26. multiply in the area model.

  Top-left cell: 180 Top-right cell: 6 Bottom-left cell: 600 Bottom-right cell: 20 Final product: 806

• 6. solve each equation. write each solution as a fraction and as a deci…

  | Equation | Solution (Fraction) | Solution (Decimal) | |----------|---------------------|--------------------| | $2x=3$ | $\frac{3}{2}$ | $1.5$ | | $5y=3$ | $\frac{3}{5}$ | $0.6$…

• Ok

  - Fila 2: Circular el par (5, 2). - Fila 3: Circular el par (3, 3) (o la tarjeta con 3 y la otra con 4 dibujos, pero los números son 3 y 3? Wait, la tercera fila: primera tarjeta …

• How do you solve pemdas

  It's basically just a checklist so you don't get mixed up when a math problem has a bunch of stuff going on at once. You just go down the list in order: 1. **P**arentheses: Do any…

• which number line models $-1 + (-14)$? add. $-1 + (-14) = \\square$

  \(-15\)

• 11 et 12

  The initial number of bacteria is 5. ### Turn 2 Answer Ça marche, regardons ça ! On dirait que tu es en plein dans les maths financières. Pour le **numéro 11**, on cherche le taux…

• the triangles below are congruent and their corresponding parts are mar…

  (a) $\angle A \cong \angle Z$，$\angle B \cong \angle X$，$\angle C \cong \angle Y$ (b) $\overline{AB} \cong \overline{ZX}$，$\overline{AC} \cong \overline{ZY}$，$\overline{BC} \cong …

• Can u turn them to a image

  - Distance A-B: $3\sqrt{5} \approx 6.7$ - Distance C-D: $3\sqrt{5} \approx 6.7$ - Distance E-F: $\sqrt{17} \approx 4.1$ - Distance G-H: $\sqrt{5} \approx 2.2$ ### Turn 2 Answer I'…

Sovi AI iOS

Sitio oficial: mysovi.ai. Las páginas se sirven en question-banks.mysovi.ai. La app iOS está en Apple App Store.