Find the missing values:


Base



Height



Area of Triangle



15 cm



_____



87 cm2




31.4 mm



1256 mm2



22 cm



______



170.5 cm2


(a) It is given in the question that,


Height of triangle = h


And,


Base of triangle = 15 cm


Area of triangle = 87 cm2


We know that,


Area of triangle = × Base × Height


87 = 1/2 × 15 × h


174 = 15 × h


h =


= 11.6 cm


Height of triangle is 11.6 cm


(b) It is given in the question that,


Height of triangle = 31.4 mm


Base of triangle = b


Area of triangle = 1256 mm2


We know that,


Area of triangle = × Base × Height


1256 = 1/2 × b × 31.4


2512 = b × 31.4



= 80 mm


Base of triangle is 80 mm


(c) It is given in the question that,


Height of triangle = h


Base of triangle = 22 cm


Area of triangle = 170.5 cm2


We know that,


Area of triangle = × Base × Height


170.5 = × 22 × h


341 = 22 × h


h = 341/22


= 15.5 cm


Height of triangle is 15.5 cm


12