Question

In ΔIJK, k = 26 cm, ∠I=135° and ∠J=11°. Find the length of i, to the nearest centimeter.

Answer 1

• 33 cm

Explanation:

Given

Triangle IJK with:

• Side k = 26 cm, ∠I = 135°, ∠J = 11°

To find

• The length of side i

Solution

Find angle K:

• ∠K = 180° - (135° + 11°) = 34°

Use the low of sines to findthe value of i:

• i/sin I = k/sin K
• i = k sin I / sin K
• i = 26 * sin 135° / sin 34° = 33 cm (rounded to the whole number)