Question

Find the Missing Values :
(i) Base = 15 cm
Height = ?
Area of the Triangle = 87 cm²
(ii) Base = ?
Height = 31.4 mm
Area of The Triangle = 1256 mm²
(iii) Base = 22 cm
Height = ?
Area of The Triangle = 170. cm²​

Answer 1

$\huge{\mathcal{\underline\green{Question}}}$

Find the Missing Values :

(i) Base = 15 cm

Height = ?

Area of the Triangle = 87 cm²

(ii) Base = ?

Height = 31.4 mm

Area of The Triangle = 1256 mm²

(iii) Base = 22 cm

Height = ?

Area of The Triangle = 170. cm²

$\huge{\underline{\mathtt{\red{A} \pink{N} \green{S} \blue{W} \purple{E} \orange{R}}}}$

(i)

$\huge\boxed{\blue{Given :}}$

➣ Base of the triangle = 15 cm

➣ Area of the triangle = 87 cm²

$\huge\boxed{\red{To \: Find :}}$

➣ Height of the triangle

$\huge\boxed{\pink {Solution :}}$

➪ Area of triangle = $\frac{1}{2}$ × base × height

⇒Height of triangle = $\frac{2 × Area} {base}$

⇒Height of triangle = $\frac{2 × 87} {15}$

⇒Height of triangle = $\frac{58} {5}$

⇒Height of triangle = 11.6 cm

(ii)

$\huge\boxed{\blue{Given :}}$

➣ Height of the triangle = 31.4 mm

➣ Area of the triangle = 1256 mm²

$\huge\boxed{\red{To \: Find :}}$

➣ Base of the triangle

$\huge\boxed{\pink {Solution :}}$

➪ Area of triangle = $\frac{1}{2}$ × base × height

⇒Base of the triangle = $\frac{2 × Area} {Height}$

⇒Base of the triangle = $\frac{2 × 1256} {31.4}$

⇒Base of the triangle = 80 mm

(iii)

$\huge\boxed{\blue{Given :}}$

➣ Base of the triangle = 22 cm

➣ Area of the triangle = 170.5 cm²

$\huge\boxed{\red{To \: Find :}}$

➣ Height of the triangle

$\huge\boxed{\pink {Solution :}}$

➪ Area of triangle = $\frac{1}{2}$ × base × height

⇒Height of triangle = $\frac{2 × Area} {base}$

⇒Height of triangle = $\frac{2 × 170.5} {22}$

⇒Height of triangle = 15.5 cm

Answer 2

Answer:

(i) Height of triangle = 11.6 cm

(ii) Base of the triangle = 80 mm

(iii) Height of triangle = 15.5 cm