Question

In a right-angled triangle, the area of the triangle is 28 cm2 and its base is
4 cm. Find its height.​

Answer 1

Answer:

area= 28cm2

base = 4cm

so, area = 1/2 × base × height

28cm2 = 1/2× 4cm×height

28cm2 = 2cm× height

28cm2/2cm= height

14cm= height

hope it may help you

Answer 2

$\LARGE\mathfrak\pink{answer}$

We know,

Base = 4cm

Area = 28cm²

Height = x

Explanation for finding the height.

• To find the height if base and area is given we will multiply base by 1/2 and then we will divide the area with the product.

As we know that formula for finding are of triangle is $\Large\frac{1}{2}$bh.

Area = $\Large\frac{1}{2}$bh

Area = $\Large\frac{1}{2}$ (4)h

Area = $\Large\frac{1}{2}$2h

height = $\Large\frac{28}{2}$ = 14 cm

$\large\sf\underbrace\orange{∴\:14cm\:is\:the\:height.}$

_____________________________________

Verification:

Base = 4cm

Height = 14cm

Area = $\Large\frac{1}{2}$bh

Area = $\Large\frac{1}{2}$ 4 × 14

Area = $\Large\frac{1}{2}$ 56 = 28

28 = 28

LHS = RHS

$\large\rm{Hence\:Verified}$✔