Question

the base and height of a triangle are in the ratio 6 :5 if its area is 135 cmsquare find the base and the height of triangle​

Answer 1

Answer:

let base ans height be 6x and 5x respectively

area of triangle =1/2b×h

135=1/2×6x×5x

so, x²=9

x=3

6x=6×9= 54cm

5x= 5×9= 45cm

Step-by-step explanation:

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Answer 2

Final answer:

The base and height of the triangle are 18 cm and 15 cm respectively.

Step by step explanation:

Here we are provided with the ratio of base and height of a triangle and the area of the triangle and we have to find the base and height of the triangle

For this purpose

let the base be 6x and height be 5x

we know that area of a triangle = $\frac{1}{2}$×base ×height

                                                  ⇒ 135 cm²  =$\frac{1}{2}$ × 6x ×5x

                                                    ⇒135 ×2 = 6x × 5x

                                                   ⇒ $\frac{270}{30}$ = x²

                                                    ⇒ √9 = x

                                                  ⇒ x=3cm

  Therefore the base of the triangle  = 6x= 6×3=18 cm

height = 5x = 5×3=15cm

Hence the base and   height of the triangle are 18 cm and 15cm respectively.