Home › UP Board Class 10 › mathematics › Triangles › Two triangles have areas in the ratio 49 : 64. T…
Two triangles have areas in the ratio 49 : 64. The ratio of their corresponding sides is
A14 : 16
B8 : 7
C49 : 64
D7 : 8
Answer & Solution
Correct answer: D. 7 : 8
1. For similar triangles, ratio of areas equals square of ratio of corresponding sides.
2. Square root of 49/64 is 7/8.
3. Hence sides are in ratio 7 : 8.
_Source: NCERT Class 10 Mathematics, Ch 6 "Triangles", §6.4_
Related questions
In triangle ABC, AB squared + BC squared = AC squared and AB = BC. The angles of the trianTriangles ABC and DEF are similar with AB = 4 cm, BC = 5 cm, CA = 6 cm and EF = 7.5 cm. ThIn a quadrilateral ABCD where AB is parallel to CD and the diagonals AC and BD intersect aABC is an equilateral triangle of side 2a. The length of its altitude isThe sides of a triangle are in the ratio 3 : 4 : 5 and its perimeter is 60 cm. The area ofIn triangle ABC, AD is perpendicular to BC. Given AB = 7 cm, AC = 25 cm, BD = 5 cm, the vaTwo similar triangles have areas 81 sq cm and 144 sq cm. The ratio of their corresponding In an isosceles triangle ABC with AB = AC = 13 cm and BC = 10 cm, the altitude from A to B