Q12. A triangle and a parallelogram have the same base and the same area. If the sides of the triangle are 26cm,28cm,30cm and the parallelogram stands on the base 28cm,find the height of the parallelogram? *
12 cm
14cm
120cm
None
Answers
Answered by
32
AnsWer⤵️
Perimeter of Triangle
2S=26+28+30=84
⇒S=42cm
Area
s(s−a)(s−b)(s−c)
(Heron's formula)
Area =
42(42−26)(42−28)(42−30)
=
42×16×14×12
Area=336cm
2
Area of parallelogram = Area of triangle
⇒ h×28=336
⇒h=12cm
Height of parallelogram =12cm
Answered by
4
Answer:
Assumption
a = 26 cm
b = 28 cm
c = 30 cm
Hence,
s = 42 cm
Now,
= 2 × 2 × 2 × 2 × 7 cm²
= 16 × 7 cm²
= 336 cm²
Given,
Base × Height = 336 cm²
28cm × Height = 336 cm²
Height = 12 cm
Assumption
a = 26 cm
b = 28 cm
c = 30 cm
Hence,
s = 42 cm
Now,
= 2 × 2 × 2 × 2 × 7 cm²
= 16 × 7 cm²
= 336 cm²
Given,
Base × Height = 336 cm²
28cm × Height = 336 cm²
Height = 12 cm
Explanation:
Similar questions