Câu 19: Bạn Phương Thảo Gieo Một Con Xúc Xắc - Gauthmath

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Question

Bookwork code: 4B Calculator not allowed Using a ruler and a protractor, make an accurate drawing of the triangle shown below. Measure length b in your drawing. Give your answer to 1 d.p. Not drawn accuratelySHOW LESS0

Solution

user avatar imageAnswer4ExplanationStep 1: **Identify the formula** Use the law of cosines: b^2 = a^2 + c^2 - 2ac \cos(\theta) Step 2: **Substitute values** b^2 = 8^2 + 7^2 - 2 \cdot 8 \cdot 7 \cdot \cos(30^\circ) Step 3: **Calculate components** b^2 = 64 + 49 - 56 \cdot \frac{\sqrt{3}}{2} Step 4: **Simplify** b^2 = 113 - 28\sqrt{3} Step 5: **Square root** b = \sqrt{113 - 28\sqrt{3}} Step 6: **Approximate** b \approx 4.0 Click to rate:32.8(61 votes)Search questionBy textBy image/screenshotDrop your file here orClick Hereto upload

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