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Quetica 1 of 10
Feght triangles 
M and 
P are shown. Triangle 
M has a helght of 4 inches (in.), a base of 3 in., and a third side of 
5in. Triangle 
P has a height of 12 in., a base of 9 in., and a third side of 15 in
th of the statements are true? select all that apply.

Quetica 11 of 1010\newlineFeght triangles M M and P P are shown. Triangle M M has a helght of 44 inches (in.), a base of 33 in., and a third side of 5in 5 \mathrm{in} . Triangle P P has a height of 1212 in., a base of 99 in., and a third side of 1515 in\newlineth of the statements are true? select all that apply.

Full solution

Q. Quetica 11 of 1010\newlineFeght triangles M M and P P are shown. Triangle M M has a helght of 44 inches (in.), a base of 33 in., and a third side of 5in 5 \mathrm{in} . Triangle P P has a height of 1212 in., a base of 99 in., and a third side of 1515 in\newlineth of the statements are true? select all that apply.
  1. Identify Triangle Properties: question_prompt: Determine which statements about triangles MM and PP are true based on their given dimensions.
  2. Calculate Area of Triangle M: Calculate the area of triangle M using the formula for the area of a triangle Area=12×base×height\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}.
  3. Calculate Area of Triangle PP: Calculate the area of triangle PP using the same formula.
  4. Compare Areas of Triangles: Compare the areas of triangles MM and PP to see if they are proportional.
  5. Check Side Proportions: Check if the sides of triangle MM are proportional to the sides of triangle PP.
  6. Determine Triangle Similarity: Determine if the triangles are similar by checking if the ratios of the corresponding sides are equal.

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