Question

the base and height of a triangle are in the ratio of 6:5. if thr area is 135sqcm, find the base and the height of the triangle​

Answer 1

Step-by-step explanation:

135=1/2×6x×5x

135=15x^2

9=x^2

3=X

base =6x=6×3=18cm

similarly height = 15

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Answer 2

Question :

the base and height of a triangle are in the ratio of 6:5. if the area is 135sqcm, find the base and the height of the triangle .

Answer :

$\sf\pink{Given:}$

• Ratio of base and height of a triangle is 6:5 .

• The area of the triangle is 135 cm² .

$\sf\pink{To\:find:}$

• Base of the triangle ?

• Height of the triangle ?

Explanation :

• let the base and height be 6x and 5x

Area of triangle = $\sf{\dfrac{1}{2}\times b\times h}$

$\\ \longrightarrow\sf{ 135 = \dfrac{1}{2}\times 6x\times 5x}$

$\\ \longrightarrow\sf{ 135 = 3x\times 5x}$

$\\ \longrightarrow\sf{ 135 = 15{x}^{2}}$

$\\ \longrightarrow\sf{ \dfrac{135}{15} = {x}^{2}}$

$\\ \longrightarrow\sf{9 = {x}^{2}}$

$\\ \longrightarrow\sf{x = \sqrt{9}}$

$\\ \longrightarrow\sf{x = 3}$

• Base is 6x

$\\ \longrightarrow\sf{6\times 3}$

$\\ \longrightarrow\sf{18}$

Therefore the base is 18 cm .

• Height is 5x

$\\ \longrightarrow\sf{5\times 3}$

$\\ \longrightarrow\sf{15}$

Therefore the height is 15 cm .