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
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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
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[tex]\huge{\mathcal{\underline\green{Question}}}[/tex]
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
[tex]\huge{\underline{\mathtt{\red{A} \pink{N} \green{S} \blue{W} \purple{E} \orange{R}}}}[/tex]
(i)
[tex]\huge\boxed{\blue{Given :}}[/tex]
➣ Base of the triangle = 15 cm
➣ Area of the triangle = 87 cm²
[tex]\huge\boxed{\red{To \: Find :}}[/tex]
➣ Height of the triangle
[tex]\huge\boxed{\pink {Solution :}}[/tex]
➪ Area of triangle = [tex]\frac{1}{2}[/tex] × base × height
⇒Height of triangle = [tex]\frac{2 × Area} {base} [/tex]
⇒Height of triangle = [tex]\frac{2 × 87} {15} [/tex]
⇒Height of triangle = [tex]\frac{58} {5} [/tex]
⇒Height of triangle = 11.6 cm
(ii)
[tex]\huge\boxed{\blue{Given :}}[/tex]
➣ Height of the triangle = 31.4 mm
➣ Area of the triangle = 1256 mm²
[tex]\huge\boxed{\red{To \: Find :}}[/tex]
➣ Base of the triangle
[tex]\huge\boxed{\pink {Solution :}}[/tex]
➪ Area of triangle = [tex]\frac{1}{2}[/tex] × base × height
⇒Base of the triangle = [tex]\frac{2 × Area} {Height} [/tex]
⇒Base of the triangle = [tex]\frac{2 × 1256} {31.4} [/tex]
⇒Base of the triangle = 80 mm
(iii)
[tex]\huge\boxed{\blue{Given :}}[/tex]
➣ Base of the triangle = 22 cm
➣ Area of the triangle = 170.5 cm²
[tex]\huge\boxed{\red{To \: Find :}}[/tex]
➣ Height of the triangle
[tex]\huge\boxed{\pink {Solution :}}[/tex]
➪ Area of triangle = [tex]\frac{1}{2}[/tex] × base × height
⇒Height of triangle = [tex]\frac{2 × Area} {base} [/tex]
⇒Height of triangle = [tex]\frac{2 × 170.5} {22} [/tex]
⇒Height of triangle = 15.5 cm
Answer:
(i) Height of triangle = 11.6 cm
(ii) Base of the triangle = 80 mm
(iii) Height of triangle = 15.5 cm