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Answer:
7
Step-by-step explanation:
Using the exact values for
cos45° = and tan60° =
, then
2(cos²45° + tan²60°)
= 2( ( )² + (
)² )
= 2( + 3 ) ← distribute
= 1 + 6
= 7
Area formula of a triangle is:
A =
We know the area and the height, so substitute to find the base
A = 70 m²
h = 8.75 m or
m (its the same thing)
70 =
× b × 8.75
70 = 4.375b
Divide by 4.375 on either sides to isolate b
4.375 and 4.375 cancels out
16 m = b
The base of this triangle is 16 m
A =
We know the area and the height, so substitute to find the base
A = 70 m²
h = 8.75 m or
70 =
70 = 4.375b
Divide by 4.375 on either sides to isolate b
4.375 and 4.375 cancels out
16 m = b
The base of this triangle is 16 m