For the triangles abc and mnp m∠a = m∠m, ab = 16, ac = 10, mn = 7, mp = 24. find the ratio of the a△mnp and a△abc .

21 : 20

Step-by-step explanation:

Area of ABC

½ × AB × AC sinA

½ × 16 × 10 sinA

80sinA

Area of MNP

½ × MN × MP sinM

sinM = sinA because angle M = angle A

½ × 7 × 24 sinA

84sinA

Ratio:

MNP : ABC

84sinA : 80sinA

21 : 20

step-by-step explanation:

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