Triangle ABC is right angled at B and D is a point of BC such that BD 5 cm AD 13 cm and AC 37 cm the...........

Quantitative Aptitude (CGL) Geometry

Triangle ABC is right angled at B and D is a point of BC such that BD = 5 cm, AD = 13 cm and AC = 37 cm. then find the length of

DC in cm.

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SSC CGL 24th August 2021 Shift-3

- Given: Triangle ABC is right-angled at B, with BD = 5 cm, AD = 13 cm, and AC = 37 cm.

- Find: Length of DC.

- In right triangle ABC, AC is the hypotenuse, so AB² + BC² = AC².

- From point D on BC, BD = 5 cm, so DC = BC - BD.

- Use the triangle inequality: AD and AC.

- Since AD² + BD² = AB²:

- 13² + 5² = 169 + 25 = 194; use Pythagorean theorem if needed.

- AC is given as 37, where AC² = AB² + BC² = 37² = 1369.

- Solve for BC (FD): BC =v(AC² - AB²).

- By calculating, DC = BC - BD = 30 cm.

- Option: 2, 30, is the correct answer .

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