WebA) acute B) isosceles C) obtuse D) right E) not possible 9) The circles with centers at A, B, and C are mutually tangent at D, E, and F as shown. Compute. ∙ ∙ B) 1 C) Ø D) 2 E) cannot be determined 10) is inscribed in a circle with diameter ∆ABC ̅̅̅̅. WebDC = BC - BD DC = 20 - 7 DC = 13 Ratio of areas of two triangles is equal to the ratio of the products of their bases and corresponding heights. ∴ A (∆ ABD) A (∆ ADC) AX BD AX DC A (∆ ABD) A (∆ ADC) = 1 2 × AX × BD 1 2 × AX × DC ∴ A (∆ ABD) A (∆ ADC) BD DC A (∆ ABD) A (∆ ADC) = BD DC ∴ A (∆ ABD) A (∆ ADC) A (∆ ABD) A (∆ ADC) = 7 13
12. ABCD is a trapezium in which AB∥CD and AD=BC (see Fig. 8…
WebIf AB =10 cm , AC=6 cm and BC=12 cm, find BD and DC . In the given figure, AD is the bisector of `angle BAC`. If AB =10 cm , AC=6 cm and BC=12 cm, find BD and DC . WebSolution. The correct option is D. 12 5. Solve for the value of c o t θ. It is given that A D = 4 c m , B D = 3 c m , C B = 12 c m. In A B D , apply Pythagoras Theorem. A B 2 = B D 2 + A D 2 A B 2 = 4 2 + 3 2 A B = 25 = 5 c m. Now in A B C , apply Pythagoras Theorem. A C 2 = A B 2 + B C 2 A C 2 = 5 2 + 12 2 A C 2 = 169 A C = 169 = 13. northern and southern indo-european
In the given figure, ABC = 90 and B D AC. If BD = 8 cm and AD = 4 …
WebIn ΔABC, B − D − C and BD = 7, BC = 20, then find the following ratio. (i) A(ΔABD)A(ΔADC)A(ΔABD)A(ΔADC) (ii) A(ΔABD)A(ΔABC)A(ΔABD)A(ΔABC) (iii) A(ΔADC)A(ΔABC)A(ΔADC)A(ΔABC) WebAug 9, 2024 · Prove that ABC is an isosceles triangle. Solution: Question 10. In the given figure, AD, BE and CF arc altitudes of ∆ABC. If AD = BE = CF, prove that ABC is an equilateral triangle. Solution: Question 11. In a triangle ABC, AB = AC, D and E are points on the sides AB and AC respectively such that BD = CE. Show that: WebIn a right triangle ABC, right angled at B, BC=15cm, and AB=8cm. A circle is inscribed in triangle ABC. The radius of the circle is : A 1cm B 2cm C 3cm D 4cm Medium Solution Verified by Toppr Correct option is C) Using Pythagoras theorem in ABC (AB) 2+(BC) 2=(AC) 2 (15) 2+(8) 2=(AC) 2 ⇒(AC) 2=225+64=289 ⇒AC=17cm Now inradius r= sΔ northern and southern dialect auslan