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Or, if you don't want trigonometry, draw AD perpendicular to BC at D. Since angles B and C both measure 75 degrees, you have no choice, but to use the ratio ABAD=ACAD=42+6 which still comes from trigonometry.
Easy Math Editor
This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.
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Comments
Use the sine formula for the area of the triangle. [ABC]=21(AB)(AC)sinA.
by using this formula: Area=1/2(AB)(AC)sinA. area=1/2(10)(10)1/2=25 cm^2
Or, if you don't want trigonometry, draw AD perpendicular to BC at D. Since angles B and C both measure 75 degrees, you have no choice, but to use the ratio ABAD=ACAD=42+6 which still comes from trigonometry.
25cm^2 as the formula is (1/2)(10)(10)(sin 30)=25 (sin 30 =1/2)
Using cosine law you will determine BC.After that using hero's formula you will determine the area of triangle
area=1/21010*sin30=25 cm^2