Question

In a right angled triangle, if perpendicular, base and hypotenuse are p, b and h respectively then h =

(A) \(\sqrt{p^{2}-b^{2}}\)

(B) \(\sqrt{b^{2}-p^{2}}\)

(C) \(\sqrt{p^{2}+b^{2}}\)

(D) \(\sqrt{(p+b)^{2}}\)

Answer 1

Correct option is (C) \(\sqrt{p^{2}+b^{2}}\)   

In a right-angled triangle, the relationship between the perpendicular (p), the base (b), and the hypotenuse (h) is given by the Pythagorean theorem.

\(h^2 = p^2+b^2\)   

\(\therefore \ h =\sqrt{p^2+b^2}\)