10 Questions MCQ Test Mathematics (Maths) Class 10 - Test: Problems on Similar Triangles
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Consider the triangle shown in the figure where BC = 12 cm, Db = 9 cm, CD = 6 cm and What is the ratio of the perimeter of the triangle ADC to that of the triangle BDC?
Detailed Solution for Test: Problems on Similar Triangles - Question 1
Here, ∠ACB = c+180-(2c-b) = 180-(b+c)
So, We can say that Δ BCD and &delta ABC will be similar.
According to property of similarity,
AB/12 = 12/9
AB = 16
AC/6 = 12/9
AC = 8
Hence, AD = 7 and AC = 8
Perimeter of Δ ADC / Perimeter of ΔBDC,
= 21/27 = 7/9.
In two triangles ABC and PQR,Given that ∠A = ∠R and ∠B = ∠Q, which of the following is true?
Detailed Solution for Test: Problems on Similar Triangles - Question 7
∠A = ∠R and ∠B = ∠Q
The names of triangles are written in such a manner in which the Angles are correspondingly equal which means that the vertices at which the angles of the two triangles are equal is placed accordingly. So since the the angle A and Angle R are equal and Angle B and Angle D are equal we have ΔABC - ΔRQP
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