Question

The area of a triangle is 584cm2. If the base of the triangle is 36.5cm, then the corresponding altitude is.​

Answer 1

Answer:

179.6 cm

Step-by-step explanation:

Area = 1/2× Base × height

if area is 584 and Base is 36.5 then let height be h

584= 1/2 ×36.5×h

584×2/36.5=h

h=584×10 ×2/365

=180 approx or 179.6

Answer 2

$\huge{\mathfrak{\underline{\red{Answer :-}}}}$

★ Given :-

Area of triangle = 584 cm²

Base of triangle = 36.5 cm

★ To Find :-

Height of the triangle

★ Solution :-

We know that,

$\huge{\boxed{\orange{\underline{Area \: of \: triangle = \frac{1}{2} {\times} Base {\times} Height}}}}$

________________[Put Values]

$\bf584 \: = \frac{1}{2} \times 36.5 \times h \\ \\ \bf584 \times 2 = \frac{365}{10} \times h \\ \\ \bf1168 = \frac{{ \cancel365}}{{ \cancel10}} \times h \\ \\ \bf1168 = \frac{73}{2} \times h \\ \\ \bf1168 \times 2 = 73 \times h \\ \\ \bf2336 = 73 \times h \\ \\ \bf\frac{{ \cancel2336}}{ \cancel73} = h \\ \\ \bf32 = h \\ \\ { \huge{ \pink{ \boxed{32 = h}}}}$

★ Verification :-

Put Value of h in formula given below :-

$\huge{\boxed{\orange{\underline{Area \: of \: triangle = \frac{1}{2} {\times} Base {\times} Height}}}}$

→584 = 1/2 * 36.5 * 32

→ 584 = 36.5 * 16

→ 584 = 584

★ L.H.S = R.H.S

Hence Verified