Question

THE BASE OF A TRIANGLE IS 7 CM AND HEIGHT IS 7 CM WHAT I AREA

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Area\:of\:triangle=24.5\:cm^{2}}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{Given :}} \\ \tt: \implies Base \: of \: triangle = 7 \: cm \\ \\ \tt: \implies Height \: of \: triangle = 7 \: cm \\ \\ \red{\underline \bold{To \: Find :}} \\ \tt: \implies Area \: of \: triangle = ?$

• According to given question :

$\bold{As \: we \: know \: that} \\ \tt: \implies Area \: of \: triangle = \frac{1}{2} \times b \times h \\ \\ \tt: \implies Area \: of \: triangle = \frac{1}{2} \times 7 \times 7 \\ \\ \tt: \implies Area \: of \: triangle = \frac{49}{2} \\ \\ \green{\tt: \implies Area \: of \: triangle = 24.5 \: {cm}^{2} }$

$\bold{Alternate\:method} \\ \tt: \implies {h}^{2} = {p}^{2} + {b}^{2} \\ \\ \tt: \implies {h}^{2} = {7}^{2} + {7}^{2} \\ \\ \tt: \implies {h}^{2} =49+49 \\ \\ \tt: \implies {h}^{2} = {98} \\ \\ \tt: \implies {h}= \sqrt{98} \\ \\ \green{\tt: \implies {h} =9.8\: cm} \\ \\ \bold{According \: to \: heron's \: formula} \\ \tt: \implies s = \frac{a + b + c}{2} \\ \\ \tt: \implies s = \frac{7+ 7+ 9.8}{2} \\ \\ \tt: \implies s = \frac{23.8}{2} \\ \\ \green{\tt: \implies s =11.9} \\ \\ \bold{For \: Area \: of \: triangle} \\ \tt: \implies Area \: of \: triangle = \sqrt{s(s - a)(s - b)(s - c)} \\ \\ \tt: \implies Area \: of \: triangle = \sqrt{11.9(11.9- 7)(11.9 - 7)(11.9 - 9.8)} \\ \\ \tt: \implies Area \: of \: triangle = \sqrt{11.9 \times 4.9 \times 4.9\times 2.1 } \\ \\ \tt: \implies Area \: of \: triangle = \sqrt{600} \\ \\ \green{\tt: \implies Area \: of \: triangle = 24.49 \: {cm}^{2} }$

Answer 2

Answer:

Firstly write the things that are given :

Base of triangle = 7 cm

Height of triangle = 7 cm

Step-by-step explanation:

Using the formula, we can calculate the area of the triangle,

Area of triangle = 1/2 X Base X Height

Area of the triangle = 1/2 X 7 cm X 7 cm

Area of the triangle = 49/2 cm

Area of the triangle = 24.5 cm

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