Question

Area of a right angle traingle is 165 square meter.
If the height of the right traingle is 7cm more
than its base, then find the height of the traingle.​

Answer 1

Answer:

please mark as brainliest answer.

Step-by-step explanation:

Let the base of the right triangle be x

thus it's height is x+7

Area of Right Triangle = 1/2 × base × height

165 = 1/2 • x • (x + 7)

165 × 2 = x² + 7x

x² + 7x - 330 = 0

(x + 22)(x - 15) = 0

x = -22 OR. x = 15

but the side of Triangle can't be negative

thus x = 15

BASE = x = 15

HEIGHT = x + 7 = 15 + 7 = 22

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Answer 2

Step-by-step explanation:

⇒ Let base of right angled triangle be xm

⇒ Then, altitude of right angled triangle becomes (x+7)m

⇒ Area of right angled triangle =165m^2

$\frac{1}{2} \times x \times (x + 7)$

$x ^{2} + 7x = 330$

${x}^{2} + 7x - 330 = 0$

${x}^{2} + 22x - 15x - 330 = 0$

$x(x + 22) - 15(x + 22) = 0$

$(x + 22)(x - 15) = 0$

$x + 22 = 0 \: \red{(or)} \: x - 15 = 0$

$x = - 22 \: \: \red{(or)} \: \: x = 15$

$\pink{base \: cannot \: be \: negative.}$

$\pink{therefore \: the \: base \: = 15m.}$