Find the missing values for the following triangles. Base Height Area 1. 18 cm 12 cm --- 2. 6.5m 5 m ---
3. 60 cm --- 420 cm²
4. --- 12m 150 m²
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Find the missing values for the following triangles. Base Height Area 1. 18 cm 12 cm --- 2. 6.5m 5 m ---
3. 60 cm --- 420 cm²
4. --- 12m 150 m²
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Answer:
Step-by-step explanation:
1) b = 18 cm ; h = 12 cm
[tex]Area = \dfrac{1}{2}bh\\\\\\=\dfrac{1}{2}*18*12\\\\=9*12\\\\= 108 \ cm^{2}[/tex]
2) b = 6.5 cm ; h = 5 cm
[tex]Area= \dfrac{1}{2}*6.5*5\\\\=\dfrac{32.5}{2}\\\\= 16.25 \ m^{2}[/tex]
3) b = 60 cm ; Area = 420 cm^2
[tex]\dfrac{1}{2}bh = 420\\\\\\\dfrac{1}{2}*60*h=420\\\\30*h = 420\\\\h = \dfrac{420}{30}\\\\h = 14 cm[/tex]
4) h = 12 m ; Area = 150 m^2
[tex]\dfrac{1}{2}*b*12 = 150\\\\b * 6 = 150\\\\b = \dfrac{150}{6}\\\\b = 25 \ m[/tex]