A newly-wed couple wants to purchase a piece of land which is triangular in shape.If the two sides of the lot measure 25 m and 30m and their included angle is 60 degree,what is it's area? If the lot costs Php 2,000 per square meter,how much would it cost the couple to buy the lot?
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A newly-wed couple wants to purchase a piece of land which is triangular in shape. If the two sides of the lot measure 25 m and 30 m and their included angle is 60 degree, what is it's area?
The area is 324.76 m².
If the lot costs Php 2,000 per square meter, how much would it cost the couple to buy the lot?
The lot costs Php 649,520.
Step-by-step explanation:
The problem is about finding the area of a triangle using the SAS method or "side angle side" method.
To find the area using SAS method, the formula is AreaΔ = ½ ab sin C, where as a and b can be any of the two sides and C is the included angle.
Solution:
AreaΔ = ½ ab sin C.
= ½ (25m)(30m)sin60
= ½ (649.52m²)
= 324.76 m²
The answer is rounded to its nearest hundredths.
We already know the area of the triangular land so we can answer the follow up question about the cost of the land. To do that just multiply the area of the land by the cost per square meter.
Solution:
324.76 × Php 2000 = Php 649,520
The lot costs Php 649,520.
For other examples in finding the area of a triangle, visit the links.
brainly.ph/question/518123
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brainly.ph/question/1706811