The image shows a math problem in Indonesian related to a triangle. Here's a transcription and translation of the question:

Original in Indonesian:

5. Pada segitiga ABC diketahui AB = 10 cm, BC = 24 cm, dan AC = 26 cm. a. Tunjukkan bahwa ΔABC siku-siku!
b. Di titik manakah ΔABC siku-siku?

Translation in English:

5. In triangle ABC, it is known that AB = 10 cm, BC = 24 cm, and AC = 26 cm.
a. Show that triangle ΔABC is a right triangle!
b. At which point is triangle ΔABC a right triangle?

Solution:

Part a: Proving ΔABC is a right triangle

To prove that triangle ABC is a right triangle, we can use the Pythagorean theorem:

$\text{If } a^2 + b^2 = c^2, \text{ then the triangle is a right triangle.}$

In this case:

• $AB = 10 \, \text{cm}$
• $BC = 24 \, \text{cm}$
• $AC = 26 \, \text{cm}$ (the longest side, considered as the hypotenuse)

We now check:

$AB^2 + BC^2 = 10^2 + 24^2 = 100 + 576 = 676$ $AC^2 = 26^2 = 676$

Since $AB^2 + BC^2 = AC^2$, the triangle satisfies the Pythagorean theorem, meaning that triangle ABC is indeed a right triangle.

Part b: Identifying the right angle

In a right triangle, the right angle is opposite the hypotenuse (the longest side). Since $AC = 26 \, \text{cm}$ is the hypotenuse, the right angle must be at point B.

Would you like further explanation on this topic or details on any step?

Here are five related questions you might find interesting:

1. How does the Pythagorean theorem apply to other triangle configurations?
2. Can you use trigonometry to find the angles of the triangle?
3. How can you generalize the Pythagorean theorem in 3D space?
4. How can you verify if a triangle is isosceles using side lengths?
5. What are some real-life applications of right triangles?

Tip: In any right triangle, the longest side is always opposite the right angle, and this side is called the hypotenuse.