Question

The base and height of a triangle are in the
ratio 4: 5. If the area of the triangle is 90 sq.
cm, find the measures of its base and height.​

Answer 1

SO MATE LET ME ANSWER YOUR QUESTION.PLEASE MARK IT AS BRAINLIEST AND GIVE IT A THANKS AND 5 STAR PLEASE.

The base is 32 cm and height is 40 cm.

Step-by-step explanation:

let the base be=4x

height =5x

area of triangle=1/2*4x *5x

90=10x²

x²=90/10

x²=9

x=3

b=4*3=12

h=5*3=15

                                        or

let the base and the height be 4x and 5x.

area of a triangle=1/2*b*h

                   90=1/2*4x*5x

                   90=2x*5x

                   90=10x^2

                   90/10=x^2

                    9=x^2

                    x=3

base=4x=4*3=12m

height=5x=5*3=15m

WRITE ANYONE U LIKE BUT PLEASE MARK IT AS BRAINLIEST AND GIVE IT A THANKS AND 5 STAR PLEASE....MARK AS BRAINLIEST PLEASE....HAVE A NICE DAY........

Answer 2

Gɪᴠᴇɴ :-

• Area of Triangle = 90 cm²
• Ratio of Base and height = 4 : 5

ᴛᴏ ғɪɴᴅ :-

• Measures of base and height

sᴏʟᴜᴛɪᴏɴ :-

Let the ratio of base (b) and height (h) ne 4x : 5x

then,

According to Question :-

• Area of Triangle = 90 cm²

We know that,

• Area of triangle = ½ × base × height

➮ 90 = ½ × 4x × 5x

➮ 90 × 2 = 20x²

➮ 180 = 20x²

➮ x² = 180/20

➮ x² = 9

➮ x = √9

➮ x = 3

Hence,

• Base (b) = 4x = 4×3 = 12cm
• Height (h) = 5x = 5×3 = 15 cm