Question

Triangle A: 6 cm, 8 cm, and 10 cm Triangle B: 310 in, 25in, and 35in Triangle C: 8 ft, 15 ft, and 17 ft Triangle D: 0.32 mm, 0.96 mm, and 1 mm Which of the four triangles is obtuse

Answer 1

Triangle B

Explanation:

For a triangle with sides a, b and c,

If c² = a² + b²

Then triangle will be a right triangle.

If c² > a² + b²

Triangle will be an obtuse triangle

If c² < a² + b²

Triangle will be an acute triangle.

By applying these properties in the given triangles,

Triangle A:

6 cm, 8 cm and 10 cm

6² + 8² = 36 + 64

6² + 8² = 100 [c² = a² + b²]

Therefore, it's a right triangle.

Triangle B:

310 in, 25 in and 35 in

25² + 35² = 625 + 1225

= 1850

Since, 310² = 96100

And 96100 > 1850 [c² > a² + b²]

Therefore, It's an obtuse triangle.

Triangle C:

8 ft, 15 ft and 35 ft

8² + 15² = 64 + 225

= 289

Since, 17² = 289 [c² = a² + b²]

Therefore, It's a right triangle.

Triangle D:

0.32 mm, 0.96 mm and 1 mm

(0.32)² + (0.96)² = 1.024

Since, 1² = 1

And 1 < 1.024 [c² < a² + b²]

Therefore, triangle will be an acute triangle.