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The two triangles are similar.What is the value of x?Enter your answer in the box.x =
5 months ago
Q:
The two triangles are similar.What is the value of x?Enter your answer in the box.x =
Accepted Solution
A:
Answer:x = 5Step-by-step explanation:Looking at the ratios of height to base:Smaller triangle 3x + 1 : 12Larger triangle 4x : 3 + 12 = 4x : 15Therefore as triangles are similar:3x + 1 : 12 = 4x : 15Write as fractions:⇒ [tex]\dfrac{3x+1}{12}=\dfrac{4x}{15}[/tex]Cross multiply and solve for x:⇒ 15(3x + 1) = 12 · 4x⇒ 45x + 15 = 48x⇒ 15 = 3x⇒ x = 5