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